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In a regular polygon, each interior angle exceeds each exterior angle by 108°. How many sides does it have?

Competition practiceGeometry

A10
B8
C12
D5

Step-by-Step Solution

Interior + exterior = 180° and interior − exterior = 108°, so the exterior angle is

\frac{180° - 108°}{2} = 36°

and

n = \frac{360}{36} = 10

.

Answer: A) 10

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