Question

find the measure of each exterior angle of a regular polygon of (1) 9 sides (2) 15 sides ​

Answer 1

$\bigstar$ Question :

$\mapsto$ Find the measure of each exterior angle of a regular polygon (i) 9 sides (ii)15 sides

$\bigstar$ To Find :

$\mapsto$ Measure of exterior angle of a regular polygon of 9 sides = ?

$\mapsto$ Measure of exterior angle of a regular polygon of 15 sides = ?

$\bigstar$ Solution :

We Know that,

• Angle sum of polygon = 360°

(i) 9 Sides

$\longrightarrow$ Measure of angle of 9 sided regular polygon = $\bf{\frac{Angle \:sum\: of \:polygon}{9}}$

$\longrightarrow$ Measure of angle of 9 sided regular polygon = $\bf\frac{360}{9}$

$\longrightarrow$ Measure of angle of 9 sided regular polygon = 40°

(ii) 15 sides

$\longrightarrow$ Measure of angle of 15 sided regular polygon = $\bf\frac{Angle\:sum \:of \:polygon}{15}$

$\longrightarrow$ Measure of angle of 15 sided regular polygon = $\bf\frac{360}{15}$

$\longrightarrow$ Measure of angle of 15 sided regular polygon = 24°

$\therefore$ The measure of exterior angle of regular polygon of 9 sided is 40° and 15 sided is 24°

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