SOLUTION: An exterior angle measure of a regular polygon is given. Find the number of its sides and the measure of each interior angle. 1.) 24 degrees.

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Question 688778: An exterior angle measure of a regular polygon is given. Find the number of its sides and the measure of each interior angle.
1.) 24 degrees.

Answer by MathLover1(20850) About Me  (Show Source):
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360 degrees divided by the exterior angle gives the number of sides of a regular polygon
360%2F24+=+15
answer: 15 sided polygon

interior angles and exterior angles add up to 180 degrees so each interior angle is
180+-+24+=+156
since we have a 15 sided polygon we then multiply by 15:
156+%2A+15+=+2340
answer: 2340 degrees