Question

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary. regular 11-gon

Answer 1

1 angle = 147.3

Explanation:

To see how to derive this, draw a rough diagram of an 11 gon.

Start at one corner.

Draw many triangles with there vetices at the one you have chosen. These lines should go to every other vertice.

You should get 9 triangles.

The total of the interior angles in the 11 gon is 9 * 180 since every triangle has 180 degrees.

9 * 180 = 1620

Last step. Divide 1620 by 11 = 147.3 Rounded to the nearest tenth.