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Measuring Angles

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Measuring Angles

Protractor and angles illustration

📐 Part 1: Angle Measurement and Classification

1. Use your protractor to measure each angle below. Write the measurement and classify each angle.

Angle A: Measurement: ______° Classification: ________________

Angle B: Measurement: ______° Classification: ________________

Angle C: Measurement: ______° Classification: ________________

Angle D: Measurement: ______° Classification: ________________

2. Which angle type matches each description? Choose the correct answer.

An angle measuring exactly 90°:

Acute

Right

Obtuse

Straight

An angle measuring 135°:

Acute

Right

Obtuse

Reflex

3. Circle all the angle measurements that would be classified as acute angles:

45°

90°

30°

120°

85°

180°

🔍 Part 2: Finding Missing Angles

4. Find the missing angles using angle relationships. Show your working.

Angles on a straight line: If one angle is 65°, what is the other angle?

Working: _________________________________

Answer: ______°

Angles around a point: Three angles around a point measure 85°, 120°, and 90°. What is the fourth angle?

Working: _________________________________

Answer: ______°

5. Vertically opposite angles are equal. If one angle measures 75°, what does its vertically opposite angle measure?

Answer: ______°

6. Explain in your own words how to correctly position a protractor to measure an angle.

⭐ Extension Challenge

7. Advanced Problem: In a triangle, two angles measure 45° and 60°. What is the third angle? (Remember: angles in a triangle sum to 180°)

Working: _________________________________

Answer: ______°

8. Real-world Application: A clock shows 3:00. What type of angle is formed between the hour hand and minute hand? Estimate the measurement.
9. Challenge: Draw and label one example of each angle type in the space below:

Acute: _____ Right: _____ Obtuse: _____ Straight: _____

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