Question

If the measure of each exterior angle of a regular polygon is 18°, determine how many sides the polygon has.
A. 20 sides
B. 22 sides
C. 18 sides
D. 16 sides

Answer 1

Try solving for n in the formula E=360/n

Answer 2

Measure of Interior Angle = (n-2) × 180° / n
Interior Angle = 180 - Exterior Angle
Thus,
180 - Exterior Angle = (n-2) x 180 / n
180 - 18 = (n-2)x180 / n
and solve for n.

Answer 3

20 degrees ?

Answer 4

yes because it becomes n=360/E and E=18 so n=20.

Answer 5

thanks