A regular polygon is shown.

Question

15 sided regular polygon

Determine the measure of one of its angles.

156°
168°
2,340°
2,700°

Answer 1

To determine the measure of one angle in a regular polygon, we can use the formula:

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

Where n is the number of sides of the polygon.

For a 15-sided regular polygon (n = 15), the angle measure would be:

(180 * (15 - 2)) / 15 = (180 * 13) / 15 = 2340 / 15 = 156°

Therefore, the measure of one angle in a 15-sided regular polygon is 156°. So the correct answer is 156°.