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) Simplify this answer

Answer 1

Since complementary angles add up to 90 degrees, and angles A and B are vertical angles, we can write the equation:

m∠A + m∠B = 90

Given that m∠A = 22°, we can substitute this value in the equation:

22° + m∠B = 90

Next, we know that ∠B is a complementary angle with ∠C, so we can write:

m∠B + m∠C = 90

Since we are trying to solve for m∠C, we can substitute the value of m∠B:

22° + m∠C = 90

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