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

1 answer

Since ∠A and ∠B are vertical angles, they are congruent, so m∠A = m∠B = 22 degrees.

As ∠B is a complementary angle with ∠C, the sum of ∠B and ∠C is equal to 90 degrees.

Therefore, m∠B + m∠C = 90 degrees.

Since m∠B = 22 degrees,

22 + m∠C = 90.

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