A student needs to draw a reflex angle of 240° using only a 180° protractor. What should the student draw first?
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Worked Solution
Step 1: A reflex angle is greater than 180°. 240° is a reflex angle.
Step 2: A 180° protractor cannot measure reflex angles directly.
Step 3: Non-reflex angle = 360° − 240° = 120°.
Step 4: Draw the 120° angle using the protractor normally.
Step 5: The reflex side (the larger region at the vertex) is the 240° angle.
Step 6: Verify: 120° + 240° = 360°. ✓
Correct answer: 120°
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