A regular polygon has an exterior angle measuring . How many sides does this polygon have?
Answer and explanation
Correct answer: B. 15 sides
- Step 1: The sum of exterior angles of any convex polygon is always .
- Step 2: For a regular polygon with sides and exterior angle : .
- Step 3: Calculate: .
Answer
15 sides.
Why not the others: '12 sides' corresponds to an exterior angle of ; '18 sides' corresponds to ; '20 sides' corresponds to .
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