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Each interior angle of the regular n-gon has a measure of 175.2 degree find the value of n?
Wiki User
∙ 14y ago
The fastest way to do this one is see that the exterior angle is 180-175.2=4.8°
Since all exterior angles must add to 360° or a complete circle, take 360/4.8=75
A regular n-gon has a sum of interior angles equal to 180(n-2). An n-gon also has n angles. Therefore, from the problem statement, 180(n-2) = 175.2n, or n = 360/4.8 = 75.
Wiki User
∙ 14y ago
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What is the degree measure of one interior angle?
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