Question

the diagram shows a regular dodecagon. a) work out the size of one interior angle. b) work out the size of one exterior angle.

Answer 1

Answer: Interior angle: 150 degrees Exterior angle: 30 degrees

Explanation:

We use the angle formula to find the value of an interior angle: 180*(12-2)/12 = 150 degrees. Since an exterior angle is the supplement of an interior angle, the measure of an exterior angle is 180 - 150 = 30 degrees