SOLUTION: What is the number of sides of a regular polygon such that each interior angle is three times the measure of each exterior angle?

SOLUTION: What is the number of sides of a regular polygon such that each interior angle is three times the measure of each exterior angle?

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Question 699401: What is the number of sides of a regular polygon such that each interior angle is three times the measure of each exterior angle?
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Let x = exterior angle
so 3x = interior angle
The interior and exterior angle are supplementary
x + 3x = 180
4x = 180, divide by 4
x = 45
number of sides = 360/45 = 8
Answer: 8 sides
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