SOLUTION: The measure of an interior of a regular polygon is 130. Find the number of sides.

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Question 799486: The measure of an interior of a regular polygon is 130. Find the number of sides.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

The measure of an interior angle of a regular polygon is . Find the number of sides.
It impossible for a interior angle of a regular polygon to equal degrees.
Why?
In that case, the exterior angle of this 'polygon' would be . The sum of the exterior angles of any polygon is degrees, so the number of sides would be supposedly equal to or . A polygon cannot have sides, so the angle can't measure degrees.

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