Each exterior angle of a regular polygon is 24°. What is the size of each interior angle?
Answer and explanation
Correct answer: C. 156°
- Step 1: Interior and exterior angles on a straight line add to 180°. Step 2. 180° - 24° = 156°. Step 3. Check: 360 ÷ 24 = 15 sides, and (15 - 2) × 180 ÷ 15 = 156°. Answer: 156°. Why not the others: 24°: This is the exterior angle itself. 15°: This is the number of sides, 360 ÷ 24. 2,340°: This is the sum of all the interior angles, not one angle.
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