Free Interactive and Printable Angles Worksheet Collection - Free Printable

Let’s go through each pair of angles one by one. We’ll use the diagram with two parallel lines cut by a transversal (the slanted line). The angles are numbered 1 to 8, and we need to name the relationship between each given pair.

Remember these key terms:
- Interior angles are between the two parallel lines → angles 3, 4, 5, 6
- Exterior angles are outside the two parallel lines → angles 1, 2, 7, 8
- Alternate means on opposite sides of the transversal
- Same-side means on the same side of the transversal

Now let’s solve each:

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1) ∠1 and ∠8

∠1 is top-left exterior
∠8 is bottom-right exterior
They’re on opposite sides of the transversal → alternate
Both are exterior → so they’re alternate exterior angles

✔ Correct as written: *alternate exterior angles*

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2) ∠4 and ∠6

∠4 is top-right interior
∠6 is bottom-right interior
Same side of transversal (right side)
Both interior → same-side interior angles

✔ Correct as written: *same-side interior angles*

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3) ∠3 and ∠5

∠3 is top-left interior
∠5 is bottom-left interior
Same side of transversal (left side)
Both interior → same-side interior angles

✔ Correct as written: *same-side interior angles*

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4) ∠2 and 7

∠2 is top-right exterior
∠7 is bottom-left exterior
Opposite sides of transversal → alternate
Both exterior → alternate exterior angles

✔ Correct as written: *alternate exterior angles*

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5) ∠3 and ∠6

∠3 is top-left interior
∠6 is bottom-right interior
Opposite sides of transversal → alternate
Both interior → alternate interior angles

✔ Correct as written: *alternate interior angles*

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6) ∠1 and ∠7

∠1 is top-left exterior
∠7 is bottom-left exterior
Same side of transversal (left side)
Both exterior → same-side exterior angles

✔ Correct as written: *same-side exterior angles*

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7) ∠4 and 5

∠4 is top-right interior
∠5 is bottom-left interior
Opposite sides of transversal → alternate
Both interior → alternate interior angles

✔ Correct as written: *alternate interior angles*

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8) ∠2 and ∠8

∠2 is top-right exterior
∠8 is bottom-right exterior
Same side of transversal (right side)
Both exterior → same-side exterior angles

✔ Correct as written: *same-side exterior angles*

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All answers in the image are already correct! But since you asked me to solve it, here’s the verified final answer for each:

Final Answer:
1) alternate exterior angles
2) same-side interior angles
3) same-side interior angles
4) alternate exterior angles
5) alternate interior angles
6) same-side exterior angles
7) alternate interior angles
8) same-side exterior angles