Math, asked by Akshara805432, 3 months ago

Find the number of sides if a regular polygon whose interior angle is 45 degree.​

Answers

Answered by anandnexadealer
4

Answer:

83

Step-by-step explanation:

First use the angle formula! (No necessary need for degrees, they cancel out on both sides)

180×(n−2)n=45

n−2n=1−2n=14

2n=34

1n=38

n=83

Hope it helps

Please mark my Answer as the BRAINLIEST

Answered by SweetCharm
41

 \huge \mathscr{\orange {\underline {\pink{\underline{Answer :-}}}}}

Sum of exterior angle of any polygon is 360°

As each exterior angle is 45°

Then the number of angles or sides of the polygon is :

\mapsto\sf\dfrac{360°}{45°}{=8°}

Further as each exterior angle is

45° each interior angle is ,

→180° - 45° = 135°

As there are 8 interior angles each is 135°.

★The sum of the interior angles of the polygon is :

135° × 8° = 1080°

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