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 .

Answer 1

Since ∠A and ∠B are vertical angles, they have the same measure. Therefore, m∠B = 22°.
Since ∠B is a complementary angle with ∠C, the sum of their measures is 90°. Therefore, m∠B + m∠C = 90°.
Substituting the known values, we have:

22° + m∠C = 90°

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