SOLUTION: Calculate the number of sides a regular polygon has if an interior angle is five times the size of an exterior angle.

Question 936376: Calculate the number of sides a regular polygon has if an interior angle is five times the size of an exterior angle.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Suppose the interior angle is degrees.
Then the exterior angle is degrees.

degrees.
So exterior angle = degrees.
If the polygon has sides (and n angles) the sum of its exterior angles is
But the exterior angles of a polygon add to degrees
So, => .
ANSWER: the polygon has sides.

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