Question

For the following regular n-gon, give the measure of a vertex angle, a central angle, and an exterior angle. (Round to the nearest whole degree.)

42-gon

Answer 1

9514 1404 393

Answer:

• vertex: 171°
• central: 9°
• exterior: 9°

Step-by-step explanation:

The central angle is equal to the exterior angle:

  360°/n = 360°/42 = 8 4/7° ≈ 9°

The vertex angle is the supplement of this:

  180° -8 4/7° = 171 3/7° ≈ 171°