In a diagram , A B are vertical angles, and B is a complimentary angle with C. If m A = 22°, write

Question

an equation that you can use to solve for m C.

Answer 1

Since A and B are vertical angles, they have the same measure. Therefore, m A = m B.
Since B is a complimentary angle with C, m B + m C = 90°.

Substituting the value of m A (which is 22°) for m B in the second equation:
22° + m C = 90°

This is the equation that can be used to solve for m C.