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Find the measure of each interior angle and each exterior angle of the indicated regular polygon. 25-gon

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prestigeadhikari55

Each exterior angle of a regular 25-gon = 360/25 = 14.4 deg. and each interior angle= 165.6 deg.
The exterior angles add to 360
25x = 360
x = 360 / 25 = 14.4 degrees
Interior angle = 180 - 14.4 = 165.6 degrees

You could find the interior angles first
Sum interior angles = 180(n - 2)
Each interior angle = 180 x (25 - 2) / 25 = 165.6 degrees

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