Question

If the interior angle of polygon is in ap. Smaleest angle is 52 and commomn diference is 8.Find number of sides of polygon when given interior angle

Answer 1

Step-by-step explanation:

if the smallest interior angle is 52, its corresponding exterior angle is 180-52 = 128 degrees

As the interior angles increase by 8 degrees

the corresponding exterior angles decrease by 8 degrees.

We know:

The sum of the exterior angles is 360 degrees

Let n be the number of sides. Then,

n/2 [2 x 128 + (n - 1)(-8)] = 360

Solve this equation to get the value of n, that is, the number of sides of the polygon. MARK ME AS BRAINLIEST