Question

exterior angle is one-third the interior angle. Find the no. of sides of the polygon​

Answer 1

Answer:

71/3rd of the interior angle of the polygon.

The interior angle plus the exterior angle make a straight line, which is 180 degrees.

3x + (x - 20) = 180  

4x = 200  

x = 50  

Interior angle = 150 degrees.  

Let n = number of sides of this polygon.

180(n - 2) = sum of interior angles  

180(n - 2) = 150n  

30n = 360  

n = 12

hope it helps!!