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) About Me  (Show Source):
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The measure of an interior angle of a regular polygon is 130. Find the number of sides.
It impossible for a interior angle of a regular polygon to equal 130 degrees.
Why?
In that case, the exterior angle of this 'polygon' would be 180-130=50. The sum of the exterior angles of any polygon is 360 degrees, so the number of sides would be supposedly equal to 360%2F50 or 7.2. A polygon cannot have 7.2 sides, so the angle can't measure 130 degrees.