This Station 1 worksheet helps students practice identifying different types of angles formed by parallel lines and transversals, then calculate missing angle measures.

Let’s solve this step by step.

We have two parts:

Part 1: Identify angle types (questions 1–6)
We’re given a diagram with two parallel lines cut by a transversal, and angles labeled 1 through 8.

Recall the angle pair names:
- Corresponding angles: Same relative position at each intersection (e.g., top-left of top line and top-left of bottom line).
- Alternate interior angles: Inside the parallel lines, on opposite sides of the transversal.
- Alternate exterior angles: Outside the parallel lines, on opposite sides of the transversal.
- Consecutive interior angles (also called same-side interior): Inside the parallel lines, on the same side of the transversal.
- Vertical angles: Opposite each other when two lines cross — always equal.
- Linear pair: Adjacent angles that form a straight line — add to 180°.

Looking at the first diagram (angles 1–8):

Angle positions:
Top line: left to right → ∠4, ∠3, ∠2, 1? Wait — let’s label properly based on standard transversal diagrams.

Actually, in most textbooks, for two horizontal parallel lines cut by a diagonal transversal going from bottom-left to top-right:

At the top intersection:
- Top-left: ∠4
- Top-right: ∠3
- Bottom-right: ∠2
- Bottom-left: ∠1

At the bottom intersection:
- Top-left: ∠5
- Top-right: ∠6
- Bottom-right: ∠7
- Bottom-left: ∠8

But looking at the numbering in the image description (since we can’t see it but must infer from common problems), and the pairs given:

Let’s use standard matching:

Assume:
- Angles 1 & 5 are corresponding? Not necessarily. Let’s go pair by pair as listed.

Given pairs:

1. ∠1 & ∠4 → These are adjacent and form a straight line → linear pair
Wait — actually, if they are next to each other on a straight line, yes. But let’s think again.

In many diagrams:
∠1 and ∠4 are vertical? No.

Better approach: Use known relationships.

Standard labeling for transversal cutting two parallel lines:

Label the top intersection:
- Upper left: ∠1
- Upper right: ∠2
- Lower right: ∠3
- Lower left: ∠4

Bottom intersection:
- Upper left: ∠5
- Upper right: ∠6
- Lower right: ∠7
- Lower left: ∠8

But in the problem, the pairs are:

1. ∠1 & ∠4 → If ∠1 is upper left top, ∠4 is lower left top → they are adjacent on the top line → linear pair? Or vertical?

Actually, if two lines intersect, vertical angles are opposite.

So if ∠1 and ∠4 are opposite each other at the same intersection → vertical angles.

Wait — perhaps better to match common textbook answers.

I recall that in such diagrams:

- ∠1 and ∠5 → corresponding
- ∠3 and 6 → alternate interior
- 4 and ∠5 → consecutive interior
- ∠2 and 8 → alternate exterior
- 1 and ∠3 → vertical? No.

Let me assign based on typical setup where transversal goes from bottom-left to top-right.

Top line intersections:
Left side: ∠4 (above), ∠1 (below)
Right side: ∠3 (above), ∠2 (below)

Bottom line intersections:
Left side: ∠5 (above), ∠8 (below)
Right side: ∠6 (above), ∠7 (below)

Then:

1. ∠1 & ∠4 → both at top-left intersection, one above and one below the top line → they are adjacent and form a straight line → linear pair

But wait — actually, if they are on opposite sides of the transversal at the same vertex, they might be vertical.

No — vertical angles are across from each other.

If two lines cross, four angles: opposite ones are vertical.

So if at top intersection, angles are:

- North-West: ∠4
- North-East: ∠3
- South-East: ∠2
- South-West: ∠1

Then ∠1 and 3 are vertical? No — 1 and ∠3 are not opposite.

Opposite would be ∠1 and ∠3? Let's list:

When two lines intersect, vertical angles are:
- Angle A and its opposite angle C
- Angle B and its opposite angle D

So if we number clockwise: say ∠1 (SW), ∠2 (SE), ∠3 (NE), ∠4 (NW)

Then vertical pairs: ∠1 & ∠3, ∠2 & ∠4

But in the problem, pair 1 is ∠1 & 4 — which are adjacent → so they form a linear pair (add to 180°).

Similarly, pair 2: ∠3 & 1 — if ∠3 is NE and ∠1 is SW, they are vertical angles.

This is getting messy. Let me use a different strategy.

I remember that in many standardized worksheets, for a transversal cutting two parallel lines, the following are standard:

For questions like this, the expected answers are:

1. ∠1 & ∠4 → vertical angles? Or linear pair?

Wait — let's look at the second part first, because it has numbers, and we can verify.

Second part: Find missing angles.

Diagram: Two parallel lines cut by a transversal. One angle given: 65° at ∠7.

Angles labeled:

Top line: ∠1, 2, ∠3, 4? Actually, from the text:

"Find the degrees of the following missing angles:"

7. ∠1 = ?
8. ∠2 = ?
9. ∠3 = ?
10. ∠4 = ?
11. ∠5 = ?
12. ∠7 = ? → wait, ∠7 is given as 65°? The image says "65°" near ∠7, so probably ∠7 = 65°.

The text says: "65°" is written next to ∠7, so ∠7 = 65°.

Now, assuming standard labeling:

Typically, for two horizontal parallel lines, transversal slanting up to the right.

At bottom intersection:
- ∠5: top-left
- ∠6: top-right
- ∠7: bottom-right
- ∠8: bottom-left

Given ∠7 = 65°.

Then:

∠7 and ∠5 are vertical angles? No — ∠7 and ∠5 are not opposite.

At the bottom intersection, the four angles:

If ∠7 is bottom-right, then:

- Vertical to ∠7 is 5? No — vertical would be the angle directly opposite, which would be top-left, so ∠5.

Yes! When two lines intersect, vertical angles are opposite.

So if ∠7 is bottom-right, then vertical angle is top-left, which is ∠5.

So ∠5 = ∠7 = 65° (vertical angles are equal).

Also, ∠7 and ∠6 are adjacent and form a straight line → linear pair → ∠6 + ∠7 = 180° → ∠6 = 180° - 65° = 115°.

Similarly, ∠5 and ∠8 are adjacent → ∠8 = 180° - ∠5 = 180° - 65° = 115°.

Now, since the lines are parallel, we can use corresponding angles, etc.

Corresponding angles:

∠5 corresponds to ∠1 (both top-left at their respective intersections) → so ∠1 = ∠5 = 65°.

∠6 corresponds to ∠2 (both top-right) → ∠2 = ∠6 = 115°.

∠7 corresponds to ∠3 (both bottom-right) → ∠3 = ∠7 = 65°.

∠8 corresponds to ∠4 (both bottom-left) → ∠4 = ∠8 = 115°.

Also, check alternate interior: ∠3 and 6 should be alternate interior? ∠3 is bottom-right top line, ∠6 is top-right bottom line — not alternate interior.

Alternate interior are between the parallels, on opposite sides of transversal.

So ∠3 and ∠5: ∠3 is below top line, right side; ∠5 is above bottom line, left side — not opposite.

Standard alternate interior: ∠3 and ∠6? Let's define.

Usually:

- Alternate interior: ∠3 and ∠6? In some labels.

From our assignment:

Top line angles:
- Above line: ∠1 (left), ∠2 (right)? No.

Better to stick with what we have.

We have:

∠7 = 65° (given)

Then:

∠5 = vertical to ∠7 → 65°

∠6 = adjacent to ∠7 → 180° - 65° = 115°

∠8 = adjacent to ∠5 → 180° - 65° = 115° (or vertical to ∠6 → also 115°)

Now corresponding angles:

∠1 corresponds to ∠5 → both are "top-left" relative to their intersection → so ∠1 = ∠5 = 65°

∠2 corresponds to ∠6 → both "top-right" → ∠2 = ∠6 = 115°

∠3 corresponds to ∠7 → both "bottom-right" → ∠3 = ∠7 = 65°

∠4 corresponds to ∠8 → both "bottom-left" → ∠4 = ∠8 = 115°

Also, check vertical angles at top intersection:

∠1 and 3 should be vertical? If 1 is top-left, ∠3 is bottom-right — yes, they are vertical → so ∠1 = ∠3 = 65°, which matches.

∠2 and ∠4 are vertical → ∠2 = ∠4 = 115°, matches.

Perfect.

So for part 2:

7. ∠1 = 65°

8. ∠2 = 115°

9. ∠3 = 65°

10. ∠4 = 115°

11. ∠5 = 65°

12. ∠7 = 65° (given, but asked to find? Probably just confirm)

The question says "find the degrees", and ∠7 is given as 65°, so answer is 65°.

13. ∠8 = 115°

Now back to part 1: identify angle types.

With the same labeling assumption.

Pairs:

1. ∠1 & ∠4

∠1 is top-left top intersection, ∠4 is bottom-left top intersection? In our earlier, at top intersection:

We said:

- ∠1: top-left? Earlier I assigned for top intersection:

To avoid confusion, let's define clearly for the first diagram.

Since the second diagram helped us establish labeling, assume similar for first.

In first diagram, angles 1-8 around two intersections.

Typically:

At top intersection:
- ∠1: lower-left
- ∠2: lower-right
- ∠3: upper-right
- ∠4: upper-left

At bottom intersection:
- ∠5: upper-left
- ∠6: upper-right
- ∠7: lower-right
- ∠8: lower-left

This is common.

So:

Pair 1: ∠1 & ∠4

∠1 is lower-left top, ∠4 is upper-left top → they are adjacent and form a straight line along the left side? No, they are on the same side of the transversal but different sides of the parallel line.

Actually, at the top intersection, ∠1 and 4 are adjacent angles that together make the angle on the left side, but since the parallel line is straight, ∠1 and 4 are supplementary and form a linear pair only if they are on a straight line.

The top line is straight, so the angles on one side of the transversal at the top intersection: ∠4 and ∠1 are on the left side, but they are not on the same straight line segment.

When two lines intersect, the adjacent angles are linear pairs.

At the top intersection, the two lines are the top parallel line and the transversal.

So the four angles around that point:

- Between top line left and transversal down: ∠4
- Between transversal down and top line right: ∠1? This is confusing.

Standard: when two lines intersect, they form two pairs of vertical angles and four linear pairs.

For example, if we call the angles at top intersection:

Let’s say the transversal crosses the top line.

The angle above the top line and left of transversal: ∠4

Above top line and right of transversal: ∠3

Below top line and right of transversal: ∠2

Below top line and left of transversal: ∠1

Then:

- ∠1 and ∠3 are vertical angles (opposite)
- ∠2 and ∠4 are vertical angles
- ∠1 and ∠2 are adjacent and form a linear pair (along the bottom side)
- ∠2 and ∠3 are adjacent and form a linear pair (along the right side)
- etc.

So for pair 1: ∠1 & ∠4

∠1 is below-left, ∠4 is above-left → they are adjacent and share the left ray, and together they form the angle on the left side of the transversal, but since the top line is straight, the sum of ∠1 and ∠4 is 180° because they are on a straight line? No.

Actually, ∠1 and 4 are not on a straight line; they are on different sides.

The straight line is the top parallel line, which is horizontal. So the angles on the top line at the intersection: the angle between the top line and the transversal on the left side is composed of ∠4 (above) and ∠1 (below), but they are not adjacent in the sense of sharing a side for a linear pair.

I think I have it: at the intersection point, the two lines create four rays. The linear pairs are angles that are adjacent and whose non-common sides form a straight line.

So for example, ∠1 and ∠2 are adjacent and their non-common sides are the two parts of the top line, which is straight, so ∠1 and 2 form a linear pair.

Similarly, ∠2 and 3 form a linear pair (non-common sides are the transversal), and so on.

Specifically:

- ∠1 and ∠2: linear pair (sum 180°)
- ∠2 and 3: linear pair
- 3 and ∠4: linear pair
- ∠4 and 1: linear pair? No, ∠4 and 1 are not adjacent; they are separated.

In the circle around the point, the adjacent pairs are:

- ∠1 and ∠2
- ∠2 and ∠3
- ∠3 and 4
- ∠4 and ∠1

And each of these is a linear pair because the two lines are straight.

Is that correct? Yes, when two lines intersect, any two adjacent angles form a linear pair and sum to 180°.

So ∠1 and ∠4 are adjacent? In the sequence, if we go around, ∠4 is next to ∠1 if we consider the order.

Assume the angles are ordered around the point: say starting from top-left: ∠4, then moving clockwise: ∠3, ∠2, ∠1, back to ∠4.

Then adjacent pairs are: ∠4-∠3, ∠3-∠2, ∠2-∠1, ∠1-∠4.

So yes, ∠1 and ∠4 are adjacent and form a linear pair.

Similarly, ∠1 and ∠3 are vertical angles (opposite).

So for pair 1: ∠1 & ∠4 → linear pair

Pair 2: ∠3 & ∠1 → ∠3 and ∠1 are opposite → vertical angles

Pair 3: ∠2 & ∠6 → ∠2 is at top intersection, lower-right; ∠6 is at bottom intersection, upper-right. Since the lines are parallel, and they are on the same side of the transversal (right side), and both are "interior" or "exterior"?

∠2 is below the top line, so between the parallels? The region between the two parallel lines is the interior.

∠2 is below the top line, so if the bottom line is below, then ∠2 is in the interior region.

∠6 is above the bottom line, so also in the interior region.

And they are on the same side of the transversal (both on the right side).

So they are consecutive interior angles (same-side interior).

Sometimes called allied angles.

Pair 4: ∠3 & 6 → ∠3 is at top, upper-right; ∠6 is at bottom, upper-right. Both on the right side, but ∠3 is above the top line (exterior), ∠6 is above the bottom line (interior)?

∠3 is above the top parallel line, so exterior.

∠6 is above the bottom parallel line, but since the bottom line is below, "above" it could be interior or exterior depending.

Standard definition:

- Interior angles: between the two parallel lines.
- Exterior angles: outside the two parallel lines.

So for ∠3: if it's above the top line, it's exterior.

∠6: if it's above the bottom line, and since the bottom line is the lower parallel, "above" it is towards the top line, so if it's between the lines, it's interior.

In our labeling, at bottom intersection, ∠6 is upper-right, which is above the bottom line and right of transversal. Since the top line is above, and assuming the distance, ∠6 is between the two parallel lines, so interior.

∠3 is above the top line, so exterior.

And they are on opposite sides of the transversal? ∠3 is right side, ∠6 is right side — same side.

For alternate exterior, they need to be on opposite sides.

Perhaps they are corresponding? Corresponding angles are in the same relative position.

∠3 is upper-right at top, ∠6 is upper-right at bottom — so they are corresponding angles.

Yes! Corresponding angles are in the same position at each intersection.

So ∠3 and 6 are both "upper-right" relative to their intersection points, so corresponding angles.

Pair 5: ∠1 & ∠1 — wait, typo? It says "∠1 & ∠1" — that must be a mistake. Probably ∠1 & ∠5 or something.

Look back at user input:

"5 . ∠1 & ∠1"

That can't be right. Perhaps it's ∠1 & ∠5.

In many worksheets, it's ∠1 & 5 for corresponding.

Probably a typo in the problem or in transcription.

Assuming it's ∠1 & 5.

∠1 is lower-left at top, ∠5 is upper-left at bottom.

Both are on the left side of the transversal.

∠1 is below the top line, so interior.

∠5 is above the bottom line, so interior.

And they are on the same side (left), so consecutive interior? But usually corresponding are like-positioned.

∠1 is lower-left, ∠5 is upper-left — not the same position.

Corresponding would be ∠1 and 5 if we consider the direction.

Standard: corresponding angles are:

- ∠1 and ∠5: both are on the left side, and both are "below" their respective lines? At top, ∠1 is below the top line; at bottom, ∠5 is above the bottom line — not the same.

Actually, in standard terms, for two parallel lines cut by a transversal, the corresponding angles are:

- The angle in the top-left of the top intersection corresponds to the angle in the top-left of the bottom intersection.

In our labeling, at top intersection, top-left is ∠4.

At bottom intersection, top-left is ∠5.

So ∠4 and ∠5 are corresponding.

Similarly, bottom-right at top is ∠2, bottom-right at bottom is ∠7, so ∠2 and ∠7 are corresponding.

For ∠1: at top, lower-left; at bottom, lower-left is ∠8.

So ∠1 and ∠8 are corresponding.

But in pair 5, it's written as "∠1 & ∠1" — likely a typo, and it should be "∠1 & 5" or "∠1 & ∠8".

Perhaps "∠1 & ∠5" is intended, and they are alternate interior or something.

Another possibility: in some systems, ∠1 and ∠5 are alternate interior if the labeling is different.

To resolve, let's look at pair 6: "∠1 & ∠2" — which are adjacent at the same intersection, so linear pair.

For pair 5, since it's "∠1 & ∠1", it might be a mistake, but perhaps it's "∠1 & ∠5".

I recall that in many sources, for such a diagram:

- ∠1 and ∠5 are corresponding if ∠1 is bottom-left top and ∠5 is top-left bottom, but that's not standard.

Perhaps in this diagram, the numbering is different.

Another idea: perhaps for pair 5, it's "∠1 & ∠5", and they are alternate interior angles.

Let's calculate based on common answers.

I think for safety, I'll assume the standard pairs.

Upon second thought, in the first diagram, with angles 1-8, and the pairs given, likely:

1. ∠1 & ∠4: vertical angles? Or linear pair.

Earlier I said linear pair, but let's double-check with logic.

If ∠1 and ∠4 are at the same vertex, and they are not opposite, they are adjacent, so linear pair.

But in some definitions, if they are on a straight line, but here the straight line is the parallel line, so the angle between the parallel line and the transversal on one side is split into two angles if we consider the full angle, but no.

I found a better way: in most textbooks, for a transversal, the angle pairs are defined as:

- Vertical angles: e.g., ∠1 and ∠3, ∠2 and ∠4 at each intersection.

- Linear pair: e.g., ∠1 and ∠2, ∠2 and 3, etc.

- Corresponding: ∠1 and 5, ∠2 and 6, ∠3 and 7, ∠4 and 8 — if numbered consistently.

In many diagrams, the numbering is:

Top intersection:
- 1: top-left
- 2: top-right
- 3: bottom-right
- 4: bottom-left

Bottom intersection:
- 5: top-left
- 6: top-right
- 7: bottom-right
- 8: bottom-left

Then:

- Corresponding: 1&5, 2&6, 3&7, 4&8

- Alternate interior: 3&5, 4&6

- Alternate exterior: 1&7, 2&8

- Consecutive interior: 3&6, 4&5

- Vertical: at top: 1&3, 2&4; at bottom: 5&7, 6&8

- Linear pair: e.g., 1&2, 2&3, 3&4, 4&1 at top; similarly at bottom.

Now for the pairs in the problem:

1. ∠1 & 4 — in this numbering, 1 is top-left top, ∠4 is bottom-left top — so at the same intersection, they are adjacent and form a linear pair (since they share the left ray, and the top line is straight, so yes, linear pair).

2. ∠3 & ∠1 — ∠3 is bottom-right top, ∠1 is top-left top — they are vertical angles (opposite).

3. ∠2 & ∠6 — ∠2 is top-right top, ∠6 is top-right bottom — corresponding angles.

4. ∠3 & ∠6 — ∠3 is bottom-right top, ∠6 is top-right bottom — these are alternate interior angles? ∠3 is between the lines (since bottom of top line), ∠6 is between the lines (top of bottom line), and on opposite sides of the transversal (∠3 is right, ∠6 is right? Same side).

∠3 is on the right side of the transversal, ∠6 is on the right side — same side, so not alternate.

Alternate interior would be on opposite sides.

For example, ∠3 and ∠5: ∠3 is bottom-right top, ∠5 is top-left bottom — so ∠3 is right side, ∠5 is left side, and both interior, so alternate interior.

But here it's ∠3 & ∠6 — both on the right side, so they are consecutive interior angles.

Yes, same-side interior.

5. ∠1 & ∠1 — probably typo. Likely ∠1 & ∠5 or ∠1 & ∠8.

If it's ∠1 & 5, then ∠1 is top-left top, ∠5 is top-left bottom — corresponding angles.

If it's ∠1 & ∠8, then ∠1 is top-left top, ∠8 is bottom-left bottom — alternate exterior angles.

But in the list, it's "∠1 & ∠1", which is impossible. Perhaps it's "∠1 & ∠5".

I think it's safe to assume it's "∠1 & ∠5" for corresponding.

6. ∠1 & 2 — at the same intersection, adjacent, so linear pair.

For pair 5, since it's listed as "∠1 & ∠1", but that must be a mistake, and in context, likely "∠1 & ∠5" or "∠1 & ∠8".

Looking at the sequence, and common problems, I believe pair 5 is meant to be "∠1 & 5" for corresponding angles.

Perhaps "∠1 & ∠8" for alternate exterior.

But let's see the answer choices or standard.

Another way: in the second part, we have angles, but for identification, we can use the definitions.

I recall that in some worksheets, for pair 5, it's "∠1 & ∠5" and they are corresponding.

So I'll go with that.

So summary for part 1:

1. ∠1 & 4: linear pair

2. ∠3 & ∠1: vertical angles

3. ∠2 & ∠6: corresponding angles

4. ∠3 & ∠6: consecutive interior angles (same-side interior)

5. ∠1 & ∠5: corresponding angles (assuming typo)

6. ∠1 & ∠2: linear pair

For pair 5, if it's really "∠1 & ∠1", it might be a trick, but unlikely. Probably "∠1 & ∠5".

Perhaps "∠1 & ∠8" , but let's box the answers as per standard.

I think for accuracy, I'll use the most logical.

Final decision for part 1:

1. linear pair

2. vertical angles

3. corresponding angles

4. consecutive interior angles

5. corresponding angles (assuming ∠1 & 5)

6. linear pair

But for 5, if it's "∠1 & 1", it might be "vertical angles" with itself, but that doesn't make sense.

Perhaps it's "∠1 & ∠3" but that's already used.

Another possibility: in some numbering, ∠1 and 1 is not, but perhaps it's "∠4 & ∠5" or something.

I think it's a typo, and it's "∠1 & ∠5".

So I'll proceed.

Now for the final answer, we need to list all.

Also for part 2, we have the degrees.

So let's compile.

First, part 1 answers:

1. linear pair

2. vertical angles

3. corresponding angles

4. consecutive interior angles

5. corresponding angles (for ∠1 & ∠5)

6. linear pair

But for 5, to be precise, since the problem says "∠1 & ∠1", perhaps it's a mistake, but in context, I'll assume it's "∠1 & ∠5".

Perhaps "∠1 & ∠8" for alternate exterior.

Let's calculate the type for ∠1 and ∠8.

In standard numbering, ∠1 is top-left top, ∠8 is bottom-left bottom — so both on the left side, and both exterior (since ∠1 is above top line? In our numbering, if ∠1 is top-left, it might be exterior.

In the numbering I adopted later:

Top intersection:
- 1: top-left (exterior)
- 2: top-right (exterior)
- 3: bottom-right (interior)
- 4: bottom-left (interior)

Bottom intersection:
- 5: top-left (interior)
- 6: top-right (interior)
- 7: bottom-right (exterior)
- 8: bottom-left (exterior)

Then:

- ∠1 and ∠8: both exterior, and on the same side (left), so consecutive exterior? But usually not named.

Alternate exterior would be on opposite sides, like ∠1 and ∠7.

∠1 is top-left, ∠7 is bottom-right — opposite sides, both exterior, so alternate exterior.

For pair 5, if it's "∠1 & ∠1", perhaps it's "∠1 & ∠7" or something.

I think the safest is to look for the most common interpretation.

Upon searching my memory, in many online sources, for a similar worksheet, the answers are:

1. vertical angles — for ∠1 & ∠4? No.

Let's think differently.

In the first diagram, if we consider the angles, and the pairs, perhaps:

For 1. ∠1 & ∠4: if they are at the same vertex and opposite, but in standard, they are not.

I recall that in some diagrams, ∠1 and 4 are vertical if the numbering is different.

Perhaps for this problem, the intended answers are:

1. vertical angles

2. corresponding angles

etc.

To save time, since the second part is clear, and for the first part, I'll use the following based on common knowledge:

After re-thinking, I found that in many textbooks, for the pair ∠1 and 4, if they are on the same side of the transversal and at the same intersection, they are adjacent, so linear pair.

But let's accept that.

For the sake of completing, I'll provide the answers as per initial calculation for part 2, and for part 1, use standard.

Final decision:

Part 1:

1. ∠1 & ∠4: linear pair

2. ∠3 & 1: vertical angles

3. ∠2 & ∠6: corresponding angles

4. ∠3 & ∠6: consecutive interior angles

5. ∠1 & ∠5: corresponding angles (assuming typo for "∠1 & ∠1")

6. ∠1 & ∠2: linear pair

Part 2:

7. ∠1 = 65°

8. ∠2 = 115°

9. ∠3 = 65°

10. ∠4 = 115°

11. ∠5 = 65°

12. ∠7 = 65° (given)

13. ∠8 = 115°

Now for the final answer, we need to list them.

Since the user may expect the answers in order.

Also for pair 5, if it's really "∠1 & ∠1", it might be "reflex" or something, but unlikely. Perhaps it's "∠4 & ∠5" or "∠1 & ∠8".

Another idea: in some systems, "∠1 & ∠1" might mean the angle with itself, but that doesn't make sense for type.

I think it's a typo, and it's "∠1 & ∠5".

So I'll go with that.

So Final Answer:

For Station 1:

Identify angle types:
1. linear pair
2. vertical angles
3. corresponding angles
4. consecutive interior angles
5. corresponding angles
6. linear pair

Find missing angles:
7. 65°
8. 115°
9. 65°
10. 115°
11. 65°
12. 65°
13. 115°

But for 5, to be accurate, let's say if it's "∠1 & 1", it might be a mistake, but in context, I'll keep as corresponding.

Perhaps "∠1 & ∠8" for alternate exterior.

Let's calculate the type for ∠1 and ∠8.

In standard numbering, if ∠1 is top-left top (exterior), ∠8 is bottom-left bottom (exterior), and they are on the same side of the transversal (left), so they are consecutive exterior angles, but that's not commonly named. Usually, we have alternate exterior for opposite sides.

For example, ∠1 and ∠7 are alternate exterior.

So for pair 5, if it's "∠1 & ∠8", it might be "consecutive exterior" but rare.

I think the intended pair is "∠1 & ∠5" for corresponding.

So I'll stick with that.

Final Answer:

1. linear pair
2. vertical angles
3. corresponding angles
4. consecutive interior angles
5. corresponding angles
6. linear pair
7. 65
8. 115
9. 65
10. 115
11. 65
12. 65
13. 115

Note: For question 5, assuming "∠1 & ∠1" is a typo and should be "∠1 & ∠5". If it's literally "∠1 & ∠1", it may be an error, but in educational context, it's likely "∠1 & 5".

To match the format, I'll provide the answers as above.

For the boxed answer, since it's multiple parts, I'll list them.

The user may expect the answers in a list.

So:

Final Answer:
1. linear pair
2. vertical angles
3. corresponding angles
4. consecutive interior angles
5. corresponding angles
6. linear pair
7. 65
8. 115
9. 65
10. 115
11. 65
12. 65
13. 115

But for 12, ∠7 is given as 65°, so it's 65.

Yes.

I think that's it.