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Angle Types and Properties

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Angle Types and Properties

Various angle types illustration

📐 Part 1: Angle Classification

1. Match each angle measurement to its correct type:

45°

Right angle

90°

Acute angle

135°

Obtuse angle

180°

Straight angle

270°

Reflex angle

2. Which of these statements about angle types are correct? (Tick all that apply)

An acute angle is less than 90°

A reflex angle is greater than 180°

An obtuse angle is between 90° and 180°

A right angle is exactly 180°

3. Complete these angle type definitions:

An acute angle measures _______ than 90°

A right angle measures exactly _______°

An obtuse angle measures between _______° and _______°

A reflex angle measures between _______° and _______°

🔍 Part 2: Real-World Angles

4. Look around your classroom and identify one example of each angle type. Write your answers below:

Acute angle: _________________________________

Right angle: _________________________________

Obtuse angle: _________________________________

Reflex angle: _________________________________

5. A door opens from 0° (closed) to different positions. What type of angle is formed when:

a) The door is slightly open at 30°? ________________

b) The door is half open at 90°? ________________

c) The door is wide open at 120°? ________________

d) The door has swung all the way round to 200°? ________________

✏️ Part 3: Drawing and Problem Solving

6. In the space below, draw and label one example of each angle type:
7. Extension Challenge: If two angles on a straight line measure 65° and x°, what is the value of x? Show your working.

Working: ________________________________

Answer: x = _______°

8. Circle the angle that does NOT belong in each group and explain why:

Group A: 45°, 60°, 120°, 30° → Circle the odd one: _____ Why? ________________

Group B: 90°, 180°, 95°, 270° → Circle the odd one: _____ Why? ________________

9. Success Check: Rate your confidence (1-5, where 5 = very confident):

I can identify angle types: _____

I can explain angle properties: _____

I can find angles in real life: _____

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