Question

What is the measure of an interior angle of a regular polygon with 20 sides?

Answer 1

`162˚`

Explanation:

The sum of the interior angles in a regular polygon with `n` sides is found through the formula

`180˚(n-2)`

Here, `n=20`, so the sum of the interior angles is

`180˚(20-2)=180˚(18)=3240˚`

To find just one angle, divide `3240˚` by `20` since all `20` angles are congruent.

`(3240˚)/20=162˚`