Question

How many sides does a regular polygon have if the measure of each of its interior angle is 162 degrees.

Plz solve this​

Answer 1

Answer:

20 sides will be there

Step-by-step explanation:

360/(180-162)

= 360/18

= 20

Answer 2

Answer:

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Step-by-step explanation:

it is mentioned that a polygon has interior angles of 162o. It is assumed from this that all interior angles are 162o .

As interior angles are 162o , each exterior angle is 180o−162o = 18o

Sum of all the exterior angles of a polygon is always 360o and as each exterior angle is 18o

Number of angles / sides of polygon are

360o / 18o = 20