Question

Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth.

Answer 1

32.7°

Explanation:

Applying,

The measure of single exterior angle(S') = sum of exterior angle(S)/number of sides of the polygon(n)

S' = S/n................... Equation 1

If the sum of the exterior angle of a convex polygon(S) = 360°

From the diagram in the question,

Given: n = 11 sides

Substitute into equation 1

S' = 360/11

S' = 32.7°