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Measuring and Classifying Angles

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Measuring and Classifying Angles worksheet preview
Measuring and Classifying Angles

Measuring and Classifying Angles

Protractor and angles illustration

📐 Part 1: Angle Classification

1. Circle the correct type for each angle described:

a) An angle measuring 45°

Acute

Right

Obtuse

Straight

b) An angle measuring 90°

Acute

Right

Obtuse

Reflex

c) An angle measuring 135°

Acute

Right

Obtuse

Straight

2. Check all the angles that are less than 90°:

30°

75°

120°

60°

180°

🔢 Part 2: Angle Measurement

3. Fill in the blanks about benchmark angles:

A quarter turn equals _______ degrees and is called a _______ angle.

A half turn equals _______ degrees and is called a _______ angle.

A full turn equals _______ degrees and makes a complete _______.

4. Use your protractor to measure these angles. Write your answers in the boxes:

Angle A: _______ degrees Type: _____________

Angle B: _______ degrees Type: _____________

Angle C: _______ degrees Type: _____________

5. Calculate the missing angle in each triangle (remember: angles in a triangle add up to 180°):

Triangle 1: 60° + 70° + ? = 180° Missing angle = _______

Triangle 2: 45° + 90° + ? = 180° Missing angle = _______

Triangle 3: 30° + 50° + ? = 180° Missing angle = _______

✏️ Part 3: Drawing Angles

6. Use your protractor to draw the following angles accurately:

a) Draw a 60° angle:

b) Draw a 120° angle:

c) Draw a 90° angle:

7. Draw and label one example of each angle type:

🔗 Part 4: Angles and Fractions

8. Match each angle with its fraction of a full turn:
1. 90°
2. 180°
3. 270°
4. 360°
A. 1/2 of a turn
B. 1/4 of a turn
C. 3/4 of a turn
D. 1 full turn
9. Real-world angles: Describe where you might find these angles in everyday life:

Right angle (90°): ________________________________

Straight angle (180°): ________________________________

Acute angle (less than 90°): ________________________________

🧮 Part 5: Problem Solving

10. A quadrilateral has angles of 85°, 95°, and 110°. What is the fourth angle?

Remember: angles in a quadrilateral add up to 360°

Answer: The fourth angle is _______ degrees.

11. Sarah turns clockwise from facing north. She makes a 3/4 turn. Which direction is she now facing?

North

East

South

West

12. Explain how you would use a protractor to measure an angle. Write the steps:

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