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 . in sentence form

Answer 1

Since ∠A and ∠B are vertical angles, they are equal, which means m∠B = m∠A. Given that m∠A = 22°, we have m∠B = 22° as well. Since ∠B is complementary to ∠C, the sum of their measures is 90°. Therefore, we can express this relationship with the equation m∠B + m∠C = 90°. Substituting the value of m∠B, the equation becomes 22° + m∠C = 90°.

Thus, the equation to solve for m∠C is 22° + m∠C = 90°.