Question

To the nearest degree what is the measure of each exterior angle of a regular hexagon ?

a.60°
b.45°
c.30°
d.51°

Answer 1

A

Explanation:

The sum of measures of all the exterior angles of ANY POLYGON is 360°.

The measure of each exterior angle of ANY POLYGON is
`(360)/(n)`

where
`n` is the number of sides of the polygon

A hexagon has 6 sides, thus the measure of each exterior angle of a hexagon is:

`(360)/(6)=60` degrees

Answer choice A is correct.

Answer 2

This is the concept of geometry, the total sum of angles in a hexagon is given by:
(n-2)*180
=(6-2)*180
=720
the size of each interior angle will be:
120°
N/B
the exterior and interior angles are supplementary to each other.
Therefore the size of the exterior angle will be:
180-120
=60°
the answer is A