Question

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

Answer 1

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

Answer 2

Each exterior angle of a regular 25-gon = 360/25 = 14.4 deg. and each interior angle= 165.6 deg.