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Each interior angle of a regular polygon is five times each exterior angle. How many sides does it have?

Competition practiceGeometry

A12
B10
C15
D8

Step-by-Step Solution

Interior + exterior = 180° and interior = 5 × exterior, so the exterior angle is

\frac{180°}{6} = 30°

and

n = \frac{360}{30} = 12

.

Answer: A) 12

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