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Angles and Art Measurement

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Angles and Art Measurement

Angles and Art Measurement

Geometric angle art with protractor

🔍 Part 1: Angle Identification

1. Look at each angle and circle the correct type:

Angle A (45°):

Acute

Right

Obtuse

Straight

Reflex

Angle B (120°):

Acute

Right

Obtuse

Straight

Reflex

Angle C (270°):

Acute

Right

Obtuse

Straight

Reflex

2. Which of these are benchmark angles? (Check all that apply)

45°

90°

135°

180°

270°

360°

📐 Part 2: Angle Measurement Practice

3. Use your protractor to measure these angles. First estimate, then measure accurately:

Angle 1:

My estimate: _______ degrees

Actual measurement: _______ degrees

Type of angle: _____________

Angle 2:

My estimate: _______ degrees

Actual measurement: _______ degrees

Type of angle: _____________

Angle 3:

My estimate: _______ degrees

Actual measurement: _______ degrees

Type of angle: _____________

4. Draw the following angles using your protractor and ruler:

a) Draw a 60° acute angle

b) Draw a 135° obtuse angle

c) Draw a 90° right angle

🎨 Part 3: Angle Art Creation

5. Design your own geometric angle art! Include at least one of each type of angle and label them with their measurements.

Requirements:

One acute angle (less than 90°)

One right angle (exactly 90°)

One obtuse angle (between 90° and 180°)

One reflex angle (between 180° and 360°)

All angles clearly labelled with measurements

6. Describe your angle art design:

🧮 Part 4: Angle Calculations

7. Fill in the missing angle measurements:

Two angles on a straight line measure 75° and _____ degrees. (Total = 180°)

Three angles around a point measure 120°, 95°, and _____ degrees. (Total = 360°)

In a right angle, one part measures 35°. The other part measures _____ degrees.

8. Show your working for this problem:

If an angle measures 3 times as much as a 30° angle, what type of angle is it?

9. Match each angle type with its correct range:
1. Acute angle
2. Right angle
3. Obtuse angle
4. Straight angle
5. Reflex angle
A. Exactly 90°
B. Greater than 180° but less than 360°
C. Greater than 0° but less than 90°
D. Exactly 180°
E. Greater than 90° but less than 180°

🌟 Part 5: Real-World Angles

10. Where do you see angles in everyday life? Give three examples and estimate what type of angle each one is:
11. One thing I learned about angles today:
12. One question I still have about angles:

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