Question

Find the radian measures of an interior and an exterior angle of a regular polygon having 12 sides

Answer 1

Any convex polygon has a sum ofexterior angles of 360 degrees. In aregular polygon all angles are congruent So each exterior angle is 360/12, or 30 degrees. Each interior angle is the supplement of the exterior(interior + exterior =180). So eachinterior angle is 180–30, or 150 degrees.