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.
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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 their measures is 90°. Therefore, m∠B + m∠C = 90°.
Substitute the given value for m∠A into the equation:
22° + m∠C = 90°
You can use this equation to solve for m∠C.