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 .(2 points)
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Since ∠A and ∠B are vertical angles, they have the same measure. Thus, m∠A = m∠B = 22°.
Since ∠B and ∠C are complementary angles, their measures add up to 90°. Thus, m∠B + m∠C = 90°.
Substituting the values we have, we get: 22° + m∠C = 90°.
Therefore, the equation that can be used to solve for m∠C is 22° + m∠C = 90°.