Question

Each interior angle of a regular polygon is 144 degree, find the number of its sides.​

Answer 1

Answer:

10 sides

Step-by-step explanation:

To find the no. of sides, we first need to find the measurement of the exterior angle.

Exterior angle =180∘−m. of int. angle

=180∘−144∘

=36∘

To find the no. of sides, we use the formula ⇒360∘/m. of ext. angle

That is, no. of sides=360∘/36∘

=10 sides

~Hope this helps! :)

Answer 2

Q. Each interior angle of a regular polygon is 144 degree, find the number of its sides.

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GivEn :-

Each interior angle of a regular polygon = 144°

To finD :-

The number of sides.

Steps :-

We have got one formula to find the number of sides , That is , [ ( x - 2 ) 180 ] / x

So , Let the sides of regular polygon be x

Each interior angle = [ ( x - 2 ) 180 ] / x

144° = [ ( x - 2 ) 180 ] / x

144x = 180x - 360

360 = 180x - 144x

360 = 36x

x = 360 / 36

x = 10

Therefore, number of sides regular polygon have is equals to 10 sides.