Question

find the number of sides of a regular polygon whose each exterior angle has a measure of 60 degree ​

Answer 1

The number of sides of a regular polygon is whose exterior angle is 60 is a regular hexagon.

sum of all the interior angle is 360 degree

360/60=6sides

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Answer 2

Given:

The exterior angle has a measure of 60 degree.

To Find:

The number of sides of a regular polygon.

Solution:

To find the number of sides of a regular polygon we will follow the following steps:

As we know, sum of interior angle of polygon is 360°.

Also, the sum of exterior angle of polygon is also 360°.

All the angles of polygon is equal.

Polygon can be square, pentagon, hexagon, octagon etc.

Now,

Sides of polygon is calculated as

$n = \frac{total \: angle}{one \: angle} \frac{360}{60} = 6$

As sides of polygon are 6 so, the polygon is hexagon.

Henceforth, the number of sides of a regular polygon is 6.