SOLUTION: The measure of each interior angle of a regular polygon is 20 degrees more than 3 times the measure of each exterior angle. How many sides does the polygon have?
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Question 392784: The measure of each interior angle of a regular polygon is 20 degrees more than 3 times the measure of each exterior angle. How many sides does the polygon have? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The measure of each interior angle of a regular polygon is 20 degrees more than 3 times the measure of each exterior angle. How many sides does the polygon have?
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Let the exterior angle be "x"
Then the interior angle is "3x+20"
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These angles are supplementary:
x + 3x+20 = 180
4x = 160
x = 40 (size of each exterior angle)
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The sum of the exterior angles is 360.
# of exterior angles = 360/40 = 9
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# of sides is 9.
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Cheers,
Stan H.
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