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

Question

7103 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-01T09:28:08

#175^@#

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^@#