In a diagram, ∠A and ∠B are vertical angles, and ∠B is a complementary angle with ∠C . If m∠A=22° , write an equation that you can use to solve for m∠C .
Since vertical angles are congruent, we know that m∠A = m∠B. Since ∠B is a complementary angle with ∠C, we know that m∠B + m∠C = 90°.
Given that m∠A = 22°, we can substitute this value in our equation:
22° + m∠C = 90°