Classify angles in various geometric shapes as right, acute, obtuse, or reflex.

Let's solve the Angle Classification 3 worksheet step by step.

We are asked to classify each angle in the given shapes using these labels:

- □ = right angle (exactly 90°)
- a = acute angle (less than 90°)
- o = obtuse angle (greater than 90° but less than 180°)
- x = reflex angle (greater than 180° but less than 360°)

We'll go through each shape one by one and label all its angles accordingly.

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🔹 Shape 1: Right Triangle (Top Left)

This is a right triangle — it has:
- One right angle (□) at the bottom-left corner.
- Two acute angles (a) at the other two corners.

✔ Labels:
- Bottom-left: □
- Top: a
- Bottom-right: a

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🔹 Shape 2: Trapezoid (Top Right)

This is a trapezoid with one pair of parallel sides. Let's analyze the four angles:
- The two angles on the left side are acute (a), because they are less than 90°.
- The two angles on the right side are obtuse (o), because they are greater than 90°.

✔ Labels:
- Top-left: a
- Bottom-left: a
- Top-right: o
- Bottom-right: o

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🔹 Shape 3: Irregular Pentagon (Middle Left)

This is a five-sided polygon. Let’s examine each angle:
- Bottom-left: appears to be a right angle (□)
- Top-left: acute (a)
- Top: obtuse (o)
- Right-top: acute (a)
- Bottom-right: obtuse (o)

Wait — let’s double-check the visual:
- The left side is vertical, bottom edge horizontal → so bottom-left is likely right angle (□).
- The top-left angle is narrow → acute (a)
- The top angle is wide → obtuse (o)
- The right-side angle is sharp → acute (a)
- The bottom-right angle is wide → obtuse (o)

✔ Labels:
- Bottom-left: □
- Top-left: a
- Top: o
- Right-top: a
- Bottom-right: o

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🔹 Shape 4: Irregular Pentagon (Middle Right)

This shape looks like a rectangle with a triangular "bite" taken out from the top-right.

Angles:
- Bottom-left: right angle (□)
- Bottom-right: right angle (□)
- Top-left: right angle (□)
- Top-right: reflex? Wait — this is a concave angle (indented). The interior angle here is greater than 180°, so it's a reflex angle (x)
- The pointy tip (top-center): acute (a)

But wait — there are five vertices:
1. Bottom-left: □
2. Bottom-right: □
3. Top-right: x (reflex)
4. Top-center: a (acute)
5. Top-left: □?

Wait — actually, the shape has:
- Bottom-left: □
- Bottom-right: □
- Then a sharp inward bend at the top-right → that creates a reflex angle (x)
- The tip of the point: acute (a)
- And the top-left corner: seems like a right angle (□)

So the five angles:
- Bottom-left: □
- Bottom-right: □
- Top-left: □
- Top-center (the tip): a
- Top-right (the concave corner): x

✔ Labels:
- Bottom-left: □
- Bottom-right: □
- Top-left: □
- Top-center: a
- Top-right: x

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🔹 Shape 5: Arrow-like Shape (Bottom Left)

This is a pentagon shaped like an arrow pointing right.

Vertices:
1. Left-pointing tip: very sharp → acute (a)
2. Top-left: looks like obtuse (o)
3. Top-right: looks like acute (a)
4. Bottom-right: obtuse (o)
5. Bottom-left: acute (a)? Wait — let's trace.

Actually, the shape has:
- A long base with a V-shaped notch in the middle.

Let’s count the angles:
- Left tip: acute (a)
- Top-left: obtuse (o)
- Top-right: acute (a)
- Bottom-right: obtuse (o)
- Bottom-left: acute (a)

Wait — no. Actually, this shape has five vertices:
- Left tip: a
- Top-left: o
- Top-right: a
- Bottom-right: o
- Bottom-left: a

But check the middle indentation — it's a pointed inward angle → this is reflex?

Wait — no, because the interior angle at the inward point is less than 180°, but greater than 90°? No — look closely.

The shape is like a triangle with a notch cut out from the middle of the base.

Actually, it's better to think of it as:
- Left tip: acute (a)
- Top-left: obtuse (o)
- Top-right: obtuse (o)
- Bottom-right: acute (a)
- Bottom-left: acute (a)

Wait — no. Let’s re-analyze carefully.

This shape has:
- A long base
- A pointed tip on the left
- A notch in the center of the base, forming a V shape

So the five angles:
1. Left tip: acute (a)
2. Top-left: obtuse (o)
3. Top-right: obtuse (o)
4. Right-bottom: acute (a)
5. Left-bottom: acute (a)

But the notch is inward, so the interior angle at the center of the base is reflex? No — if it's a V-shaped notch, then the interior angle is less than 180°, but greater than 90°? Not necessarily.

Wait — actually, the notch forms a convex or concave vertex?

Looking at the image: the shape has a dent in the base — so the interior angle at the dent is greater than 180° → reflex (x)

So the five vertices:
1. Left tip: a
2. Top-left: o
3. Top-right: o
4. Right-bottom: a
5. Dent (middle): x

And the two bottom corners are not separate — the dent is one vertex.

Wait — actually, this shape has five vertices:
- Left tip
- Top-left
- Top-right
- Right-bottom
- Dent (middle of base)

So yes:
- Left tip: a
- Top-left: o
- Top-right: o
- Right-bottom: a
- Middle dent: x (reflex)

✔ Labels:
- Left tip: a
- Top-left: o
- Top-right: o
- Right-bottom: a
- Middle (dent): x

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🔹 Shape 6: Parallelogram (Bottom Right)

This is a parallelogram — opposite sides equal and parallel.

In a parallelogram:
- Opposite angles are equal
- Adjacent angles are supplementary (add to 180°)

From the image:
- Angles at the top and bottom are acute (a)
- Angles at the left and right are obtuse (o)

Because it's tilted, so:
- Top-left: a
- Top-right: o
- Bottom-right: a
- Bottom-left: o

✔ Labels:
- Top-left: a
- Top-right: o
- Bottom-right: a
- Bottom-left: o

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🔹 Shape 7: Isosceles Trapezoid (Bottom Left)

This is a trapezoid with two parallel sides (top and bottom), and non-parallel sides equal.

Angles:
- Top-left: acute (a)
- Top-right: acute (a)
- Bottom-left: obtuse (o)
- Bottom-right: obtuse (o)

Because in a trapezoid, the angles on the same side are supplementary.

✔ Labels:
- Top-left: a
- Top-right: a
- Bottom-left: o
- Bottom-right: o

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🔹 Shape 8: Flag-like Shape (Bottom Right)

This is a quadrilateral with a notch on the left side — like a flag with a V-cut.

Vertices:
1. Top-left: acute (a)
2. Top-right: acute (a)
3. Bottom-right: acute (a)
4. Bottom-left: acute (a)
5. Notch point (center-left): reflex (x)

Wait — how many vertices?

It has:
- Top-left
- Top-right
- Bottom-right
- Bottom-left
- And the notch in the middle of the left side → so five vertices

Now, angles:
- The notch is inward, so the interior angle at the notch is greater than 180° → reflex (x)
- All other angles are acute (a), since they are sharp

So:
- Top-left: a
- Top-right: a
- Bottom-right: a
- Bottom-left: a
- Notch (center-left): x

✔ Labels:
- Top-left: a
- Top-right: a
- Bottom-right: a
- Bottom-left: a
- Notch: x

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## ✔ Final Answer Summary

Here is the classification for each shape:

1. Right Triangle

- □, a, a

2. Trapezoid (top right)

- a, a, o, o

3. Irregular Pentagon (middle left)

- □, a, o, a, o

4. Irregular Pentagon (middle right)

- □, □, □, a, x

5. Arrow-like shape (bottom left)

- a, o, o, a, x

6. Parallelogram

- a, o, a, o

7. Isosceles Trapezoid

- a, a, o, o

8. Flag-like shape

- a, a, a, a, x

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📌 How to Fill the Worksheet

You would write the labels inside each angle of the shape, using the symbols:

- □ for right
- a for acute
- o for obtuse
- x for reflex

For example, in the first triangle:
- Put □ in the bottom-left corner
- Put a in the top and bottom-right corners

And so on for all shapes.

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