Question

CAN ANYONE HELP ME WITH THIS?

Given a regular nonagon, find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of the polygon.

1. 72°; 252°
2. 40°; 70°
3. 36°; 234°
4. 60°; 240°

Answer 1

(a) that would be 360 / 9 (because there 9 radii coming from the center)
Answer is 40 degrees

(b) the internal angle of a regular nonangon = 140 degrees and the radius bisects this so the angle between the radius and a side = 140/2 = 70 degrees

Answer is choice 2.