n 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 .(2 points)
Since ∠A and ∠B are vertical angles, m∠A = m∠B.
∠B is also a complementary angle with ∠C, so m∠B + m∠C = 90°.
From the given information, we have:
m∠A = 22°
m∠A = m∠B
m∠B + m∠C = 90°
Therefore, we can use the equation m∠B + m∠C = 90° to solve for m∠C.