Question

If a regular polygon has exterior angles that measure 40 degrees each, how many sides does the polygon have?

A. 10
B. 9
C. 6
D. 8

Answer 1

The measure of the exterior angle of a regular polygon is the quotient when a whole revolution, 360 degrees, is divided by the number of sides (n). This is shown in the equation,

A = 360 / n
From the given above,
40 = 360 / n ; n = 9

Therefore, the answer is letter B. 9.