Angles are not complimentary. They may be complementary.
Definition:
Two angles are complementary if the sum of their measure is 90 degrees.
Part A:
One angle measures x. The other angle measure 15 deg.
The sum of the measures must be 90 deg for the angles to be complementary, so the equation is
x + 15 = 90
Part B:
x + 15 = 90
Subtract 15 from both sides.
x + 15 - 15 = 90 - 15
x = 75