The answer is found by finding one of the exterior angles.
The interior angle + the exterior angle = 180o (They are supplementary.)
x + 177.6 = 180
x = 180 - 177.6
x = 2.4 degrees.
In a regular polygon, all of the exterior angles add up to 360 degrees.
n * 2.4 = 360
n = 360 / 2.4
n = 150 sides <<<<answer