SOLUTION: The measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. How many sides does the polygon have?

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Question 326196: The measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. How many sides does the polygon have?
Answer by solver91311(24713) About Me  (Show Source):
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Let be the number of sides for this polygon. The measure of each interior angle of a regular polygon is given by:



The measure of each external angle of a regular polygon is given by:



We are given that



Multiply both sides by :







John