If the measure of one interior
angle of a regular polygon is
160, find the number of sides.

18 sides

Step-by-step explanation:

Since it's a regular polygon, all the interior angles are equal, so they're all 160 degrees.

The sum of the interior angles of a polygon is 180*(n-2). Each angle is the total over n, in this case 160 degrees.

160 = 180*(n-2)/n

160n = 180n - 360

-20n = -360

n = 18 sides

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .