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Angle Properties and Measurement

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Angle Properties and Measurement

Angles and protractor illustration

📐 Part 1: Angle Classification and Measurement

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

a) An angle measuring 45°:

Acute angle

Right angle

Obtuse angle

Straight angle

b) An angle measuring 135°:

Acute angle

Right angle

Obtuse angle

Straight angle

2. Using a protractor, measure the angles below and write your answers:

Draw or paste angle diagrams here for students to measure

Angle A: ______° Angle B: ______° Angle C: ______°

3. Which properties apply to each angle type? Check all that apply:

Right angles:

Measure exactly 90°

Form perpendicular lines

Are greater than 90°

Are found in squares and rectangles

🔍 Part 2: Angle Reasoning and Calculation

4. Calculate the unknown angles using angle properties:

a) Two angles on a straight line. One angle is 65°. Find the other angle.

Unknown angle = _______°

Show your working:

b) Three angles around a point. Two angles are 85° and 140°. Find the third angle.

Unknown angle = _______°

Show your working:

5. In a triangle, two angles measure 45° and 60°. What is the third angle?
6. Explain why vertically opposite angles are equal:

🏗️ Part 3: Real-World Applications

7. How do architects use angles in building design? Give two specific examples:

Example 1:

Example 2:

8. Extension Challenge: A roof truss forms a triangle with angles of x°, (x + 20)°, and (2x - 10)°. Find the value of x and all three angles.

x = _______°

The three angles are: _______°, _______°, and _______°

Show your algebraic working:

9. Reflection: Why is accuracy important when measuring angles in construction?

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