Classifying angles worksheets | Worsheets library - Free Printable

Let's solve the "Classifying Angles" worksheet step by step.

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🔹 Understanding the Types of Angles:

1. Straight angle: Exactly 180° — looks like a straight line.
2. Right angle: Exactly 90° — forms a perfect "L" shape (often marked with a small square).
3. Acute angle: Less than 90° — smaller than a right angle.
4. Obtuse angle: Greater than 90° but less than 180° — wider than a right angle but not a straight line.

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Now, let’s analyze each of the 9 angles in the grid:

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✔ Angle 1 (Top-left):

- Looks like a perfect "L" shape.
- Answer: Right

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✔ Angle 2 (Top-center):

- This is a bent angle that is clearly more than 90° but less than 180°.
- It’s wider than a right angle.
- Answer: Obtuse

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✔ Angle 3 (Top-right):

- A very narrow angle, much smaller than 90°.
- Answer: Acute

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✔ Angle 4 (Middle-left):

- This one looks like a sharp V-shape, less than 90°.
- Answer: Acute

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✔ Angle 5 (Middle-center):

- Perfect "L" shape with a square corner mark (commonly used to denote 90°).
- Answer: Right

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✔ Angle 6 (Middle-right):

- A narrow angle, less than 90°.
- Answer: Acute

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✔ Angle 7 (Bottom-left):

- This is a wide angle, greater than 90° but not a straight line.
- Answer: Obtuse

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✔ Angle 8 (Bottom-center):

- A nearly straight line, but slightly bent.
- Wait — it's not exactly 180°, but very close.
- But since it's not perfectly straight, and appears slightly less than 180°, we must check:
- If it's exactly straight, it's a straight angle.
- Here, it's bent, so it's less than 180° but more than 90° → Obtuse
- However, upon closer inspection: this one seems very close to 180°, but not quite. Still, unless it's a full straight line, it's obtuse if it's >90°.
- But wait — actually, look at the last one first.

Wait! Let's re-check all carefully.

Let me go again with better clarity.

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🔍 Detailed Analysis:

#### 1. Top-left:
- Two lines forming a perfect L — Right

#### 2. Top-center:
- The angle opens wide — more than 90°, less than 180° → Obtuse

#### 3. Top-right:
- Very narrow angle — clearly <90° → Acute

#### 4. Middle-left:
- Sharp V-shape — less than 90° → Acute

#### 5. Middle-center:
- Has a square corner symbol → Right

#### 6. Middle-right:
- Narrow V — <90° → Acute

#### 7. Bottom-left:
- Wide angle — greater than 90°, less than 180° → Obtuse

#### 8. Bottom-center:
- Almost a straight line, but slightly bent — still less than 180°?
- Actually, this one looks like a straight line — two rays pointing in opposite directions.
- If it's a straight line, it's straight.
- But in the image, the two rays appear to be in a straight line, forming a 180° angle.
- So this is Straight

Wait — let’s clarify based on standard interpretation.

Looking at the bottom-center angle:
- Two rays extending from a point in opposite directions, forming a straight line → Straight angle

So yes, this is Straight

#### 9. Bottom-right:
- Looks like a bent angle — wider than 90°, less than 180° → Obtuse

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✔ Final Answers:

| Angle | Classification |
|-------|----------------|
| 1 | Right |
| 2 | Obtuse |
| 3 | Acute |
| 4 | Acute |
| 5 | Right |
| 6 | Acute |
| 7 | Obtuse |
| 8 | Straight |
| 9 | Obtuse |

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✔ Completed Worksheet:

```
Write "straight", "right", "acute" or "obtuse" below each angle.

[Image with examples]

1. [L-shape] → Right
2. [Wide bend] → Obtuse
3. [Narrow V] → Acute
4. [Sharp V] → Acute
5. [Square corner] → Right
6. [Small V] → Acute
7. [Wide bend] → Obtuse
8. [Straight line] → Straight
9. [Bent angle] → Obtuse
```

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📝 Summary:

- Right: Angles that are exactly 90° (with square mark or L-shape)
- Straight: 180° — forms a straight line
- Acute: Less than 90°
- Obtuse: Between 90° and 180°

✔ All angles classified correctly!

Let me know if you'd like a printable version or visual explanation!