The exterior angle of a certain regular polygon is 60°. How many sides does the polygon have?

1 Answer
Sep 28, 2016

#360/60 = 6 " sides"#

Explanation:

The sum of the exterior angles of any Polygon is 360°.

If it is a regular polygon you can find the size of an exterior angle by dividing 360° by the number of sides.

If you know the size of the exterior angle, just do the opposite.
Divide 360° by the size of the exterior angle to find the number of sides.

Ext angle = #360/n#

Number ofsides: #n = 360/"ext angle"#

#360/60 = 6 " sides"#