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Measuring Angles

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Measuring Angles

Protractor and angles illustration

📐 Part 1: Angle Classification and Measurement

1. Classify each angle type by selecting the correct answer:

a) An angle measuring 45°:

Acute

Right

Obtuse

Straight

b) An angle measuring 135°:

Acute

Right

Obtuse

Reflex

2. Using your protractor, measure these angles and write the measurement:

Angle A: ______° Classification: ___________

Angle B: ______° Classification: ___________

Angle C: ______° Classification: ___________

3. Which steps are essential when using a protractor? (Check all that apply)

Place the midpoint on the vertex

Align the baseline with one arm of the angle

Read from the correct scale (inner or outer)

Estimate the angle before measuring

🧮 Part 2: Angle Relationships

4. Find the missing angles using angle sum rules:

a) Angles on a straight line: 65° + ? = 180°

Missing angle = ______°

b) Angles at a point: 85° + 120° + 90° + ? = 360°

Missing angle = ______°

c) Vertically opposite angles: If one angle is 73°, the opposite angle is ______°

5. Explain your method for measuring a reflex angle (greater than 180°):

🌟 Part 3: Extension Challenge

6. Advanced Problem: In the diagram below, find angle x if the angles shown are 2x + 30°, x + 45°, and 75° around a point.

Equation: ________________________

Working:




Therefore x = ______°

7. Real-world Application: Describe one situation where accurate angle measurement is important in everyday life:
8. Self-Assessment: Rate your confidence with using a protractor:

Very confident - I can measure any angle accurately

Mostly confident - I can measure most angles with minor help

Some confidence - I need practice with complex angles

Need more help - I find protractor use challenging

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