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
Vertical angles are congruent, meaning that their measures are equal. Therefore, we have:
m∠A = m∠B.
Since ∠B is a complementary angle with ∠C, the sum of their measures is 90°. Therefore, we have:
m∠B + m∠C = 90°.
Plugging in the given value of m∠A=22°, we have:
22° + m∠C = 90°.