SOLUTION: What is the exterior angle of a regular polygon in which the interior angle is three times the exterior angle.

Algebra ->  Polygons -> SOLUTION: What is the exterior angle of a regular polygon in which the interior angle is three times the exterior angle.      Log On


   

Question 1071050: What is the exterior angle of a regular polygon in which the interior angle is three times the exterior angle.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
I + E = 180,   (1)
I = 3E.        (2)

Substitute expression (2) for I into equation (1). You will get

3E + E = 180  --->  4E = 180  --->  E = 180%2F4 = 45 degrees.

Answer.  Exterior angle is 45 degs.  Interior angle is 180 - 45 = 135 degs.

Solved.