SOLUTION: A regular polygon has an interior angle with a measure of 135 degrees. How many sides does the polygon have?
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Question 294346: A regular polygon has an interior angle with a measure of 135 degrees. How many sides does the polygon have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A regular polygon has an interior angle with a measure of 135 degrees. How many sides does the polygon have?
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The adjacent exterior angle has measure 45.
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Fact: The sum of all the exterior angles is 360 degrees.
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Equation:
45n = 360
n = 8
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The number of exterior angles is 8,
so the number of sides is 8.
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Cheers,
Stan H.
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