Question

Find the number of sides of regular polygon with sum of internel angle 180°

Answer 1

Answer:

Number of sides in a polygon is  3.

Step-by-step explanation:

Sum of all the exterior angles of any polygon is always  = 360

It's given that,

As sum of every pair of interior and exterior angle is   = 180

sum of all the interior and exterior angles of a polygon with  n  sides =  180  ×  n

As sum of interior angles of given polygon is  180  and sum of exterior angles is   360  

Sum of all the angles of given polygon is  540

As such  180  ×  n  = 540

and  

n  =   $\frac{540}{180}$

n = 3

Hence, number of sides in a polygon is  3.

Its means this given polygon is a triangle.