Question

Find the measure of each interior angle for each regular polygon show all your work

Answer 1

To find the measure of the add of all interior angles of a polygon, there is an easy formula:

(n-2)x180, n=number of vertices

Quadrilateral:

(4-2)x180=360 degrees, 360/4=90 degrees each angle

Pentagon:

(5-2)x180=540 degrees, 540/5= 108 degrees each angle

Dodecagon:

(12-2)x180=1800 degrees, 1800/12=150 degrees each angle