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 ∠A and ∠B are vertical angles, they are congruent. Therefore, m∠A = m∠B.
Since ∠B is a complementary angle with ∠C, the sum of ∠B and ∠C is 90°. Therefore, m∠B + m∠C = 90°.
Plugging in the given information that m∠A = 22°, we have:
22° + m∠C = 90°
This is the equation that can be used to solve for m∠C.