SOLUTION: Each interior angle of a regular polygon is 20 more than 3 times the measure of each exterior angle. Find the number of sides of each polygon.
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Question 474448: Each interior angle of a regular polygon is 20 more than 3 times the measure of each exterior angle. Find the number of sides of each polygon. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Each interior angle of a regular polygon is 20 more than 3 times the measure of each exterior angle. Find the number of sides of each polygon.
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Each interior/exterior pair is supplementary.
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Exterior angle: x
Interior angle: 3x+20
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x + 3x + 20 = 180
4x = 160
x = 40
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The sum of all the exterior angles is 360 degrees.
# of exterior angles = 360/40 = 9
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# of sides = # of exterior angles = 9
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Cheers,
stan H.
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