Question

if the polygon has interior
162° .then how many sides the polygon has.. please say me step by step​

Answer 1

$\underline{\bf{Explanation\::}}$

To find an interior angle of a polygon

Let n = number of sides and A = angle

(n-2)•180/n = A

Substitute A = 162

(n-2)•180/n = 162

Solve for n

n = 20 => 20 sides polygon

Answer 2

Step-by-step explanation:

If all interior angles are

162

, polygon has

20

sides.

Explanation:

Questioner has mentioned that a polygon has interior angles of

162

. It is assumed from this that all interior angles are

162

.

As interior angles are

162

, each exterior angle is

180

−

162

=

18

Sum of all the exterior angles of a polygon is always

360

and as each exterior angle is

18

Number of angles / sides of polygon are

360

o

18

o

=

20

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