Question

Find the measure of each exterior angle of a regular polygon of 9 sides

Answer 1

Answer:

[(n-2)180]÷n

[(9-2)180]÷9

[7×180]÷ 9

140

Answer 2

☆Given ☆

• The side of a regular polynomial = 9.

☆ To Find ☆

• The measure of each exterior angle.

☆ Solution ☆

All the exterior angles of a regular polygon are equal .

The sum of the measures of all the exterior angles of a polygon is 360°.

For n × sided regular polygon, measures of each exterior

$angle \: = \frac{360 °}{n}$

For 9 sided regular polygon, measure of each exterior

$angle \: = \frac{360 °}{9} = 40°$

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☆ Additional information ☆

What is regular polygon?

A polygon whose all sides and all angles are equal is a regular polygon. In other words a regular polygon is both equiangular and equilateral.

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