What is the measure of each interior in a 35-gon?

Answer 1

It's often easier to calculate the external angle and subtract this result from 180 to obtain the interior angle.

External angle of a 35-gon = 360/35 = 10.2857°

Interior angle of a 35-gon = 180 - 10.2857 = 169.7143°

The formal way is to use the formula that the Sum of the interior angles = 2n - 4 right angles.....where n is the number of sides.

Sum of interior angles = [(2 x 35) - 4] x 90 = 66 x 90 = 5940

Then each interior angle = 5940 / 35 = 169.7143°