Question

Determine the degree measure of one angle of a 20-sided regular polygon.


a) 3,240°

b) 3,600°

c) 162°

d) 180°

Answer 1

The formula for finding the degree measure of one interior angle of a regular polygon is given by:

Degree measure = (180 * (n - 2)) / n

where n is the number of sides of the polygon.

For a 20-sided regular polygon, substituting n = 20:

Degree measure = (180 * (20 - 2)) / 20
Degree measure = (180 * 18) / 20
Degree measure = 162°

Therefore, the degree measure of one angle of a 20-sided regular polygon is 162°.

The answer is c) 162°.