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In a regular polygon each interior angle exceeds each exterior angle by 132°. How many sides does the polygon have?

Competition practiceGeometry
  • A12
  • B18
  • C20
  • D15

Step-by-Step Solution

The interior and exterior angles at a vertex are supplementary, so their sum is 180° and their difference is 132°. Solving gives interior = 156° and exterior = 24°. Since the exterior angles total 360°, n = 360/24 = 15.
Answer: D) 15

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