Question

Two angles are complementary, as shown in the diagram below.

xº

15°

Part A: Use the definition of complementary angles to set up an equation that can be used to solve for the value of c.

Part B: Solve for the value of x. In your final answer, include all of your calculations.

Answer 1

I don't see the diagram clearly — could you either attach it or describe the angle labels? (The problem text mentions solving for c and for x, so I want to be sure which angle is labeled with which variable.)

If the intended meaning is the usual one — the two complementary angles are x° and 15° — then:

Part A (equation from the definition of complementary angles):
x + 15 = 90

Part B (solve for x, showing work):
x + 15 = 90
x = 90 − 15
x = 75

So x = 75°.

If instead one angle is labeled c° and the other 15°, then replace x with c in the above:
c + 15 = 90 → c = 75°.

If the diagram has a different algebraic expression for one of the angles, send that and I will set up and solve the correct equation.