Math, asked by krishnendu2630, 7 months ago

Each interior angle of polygon us 180° how many side it have

Answers

Answered by debasishbiswal790
0

Answer:

Here, number of sides of the polygon is 1 ( which is not possible for a polygon as polygon having least number of sides is 3 )

Step-by-step explanation:

Each interior angle = 180°

We know that Sum of interior angles of any polygon = (n – 2)180°––––––(Here n means the number of sides )

Each angle measure = {(n – 2)180°}/n

Now,

{(n – 2)180°}/n = 180°

=> {180n – 360}/n = 180°

=> 180n – 360 = 180n

=> 180n + 180n = 360

=> 360n = 360

=> n = 1

Here, number of sides of the polygon is 1 ( which is not possible for a polygon as polygon having least number of sides is 3 )

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