Question

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)

Answer 1

Since A and B are vertical angles, we know that m∠A = m∠B. Since ∠B is a complementary angle with ∠C, we know that m∠B + m∠C = 90°.

Therefore, substituting m∠A = 22° for m∠B in the equation, we have:

22° + m∠C = 90°.

This is the equation we can use to solve for m∠C.