Asked by Erin
If the measure of an interior angle of a regular polygon is 165, find the sum of the measures of its interior angles
Answers
Answered by
Reiny
sum of angles of a regular polygon = 180(n-2)
so 180(n-2)/n = 165
180n - 360 = 165n
15n = 360
n = 24
sum of inside angles = 180(22) = 3960°
so 180(n-2)/n = 165
180n - 360 = 165n
15n = 360
n = 24
sum of inside angles = 180(22) = 3960°
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