What is the angle measure of each exterior angle on a 72-sided regular polygon?

1 Answer
Jun 1, 2017

175^@

Explanation:

The formula for the sum of the total measurement of the exterior angles of a polygon is:

180 - 360/n where n = the amount of sides on the polygon.

For instance, if we do a regular hexagon, where n would =6, we could use this formula.

180 -360/n

180 - 360/6 = 120^@

In this instance, n = 72

180 -360/n

180 -360/72

180 - 5 = color(blue)(175^@