∠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 are congruent. Thus, m∠A = m∠B = 22°.

Since ∠B is a complementary angle with ∠C, we know that their sum is 90°. Thus, m∠B + m∠C = 90°.

Plugging in the value of m∠B, we have:

22° + m∠C = 90°.

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