In a diagram, <A and <B are vertical angles, and <B is a complementary angle with <C. If m<A = 22 degrees, write and equation that you can use to solve for m<C.
Since <A and <B are vertical angles, they are congruent. Thus, m<A = m<B = 22 degrees.
Also, since <B and <C are complementary angles, their sum is 90 degrees. So, m<B + m<C = 90.
Therefore, the equation that can be used to solve for m<C is:
22 + m<C = 90