Question 329630: Each the interior angle of a regular polygon exceeds the exterior angle by 160 degree .find the number of sides of the polygon Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Each the interior angle of a regular polygon exceeds the exterior angle by 160 degree .find the number of sides of the polygon.
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Let the exterior angle be "x".
The corresponding interior angle is "x+160"
Equation:
x + x+160 = 180
2x = 20
x = 10 degrees (measure of one of the exterior angles)
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Fact: The sum of all of the exterior angles is 360 degrees.
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# of exterior angles = 360/10 = 36
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Therefore, # of sides is 36
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Cheers,
Stan H.
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