Question

Find the measure of each exterior angle of a regular polygon of 9 sides . Also ,find its each interior angle ?

Answer 1

Step-by-step explanation:

Exterior angle= 360/number of sides

EA= 360/9

EA=40°

Interior angle + Exterior angle = 180°

IA + 40°= 180

IA = 180-40

IA = 140°

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Answer 2

SOLUTION:-

Given:

Angle of a regular polygon of 9 sides.

Number of exterior angles = 9

&

Sum of all exterior angles = 360°

Therefore,

All the exterior angles are equal.

Measure of an exterior angles

$= > \frac{360 \degree}{9} \\ \\ = > 40 \degree$

And,

Interior Angle for measure;

$= > \frac{( n - 2) \times 180 \degree }{n} \\ \\ = > \frac{(9 - 2)180 \degree}{9} \\ \\ = > \frac{7 \times 180 \degree}{9} \\ \\ = > \frac{1260}{9} \\ \\ = > 140 \degree \:$

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