SOLUTION: How many sides does a regular polygon have if the measure of one interior angle is 160 degrees?

Question 268661: How many sides does a regular polygon have if the measure of one interior angle is 160 degrees?
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How many sides does a regular polygon have if the measure of one interior angle is 160 degrees?
The exterior angles are 20�
n = 360/20 = 18 sides

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many sides does a regular polygon have if the measure of one interior angle is 160 degrees?
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The corresponding exterior angle is 180-160 = 20
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Fact: The sum of ALL the exterior angles is 360
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Your Problem:
# of exterior angles is 360/20 = 18
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# of sides = # of exterior angles = 18
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Cheers,
Stan H.
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