n 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 vertical angles are equal, we have:

m∠A = m∠B

And since ∠B and ∠C are complementary, we have:

m∠B + m∠C = 90°

Substitute m∠A = 22° into the first equation:

22° = m∠B

Now substitute this into the second equation:

22° + m∠C = 90°

Subtract 22° from both sides:

m∠C = 68°

Therefore, the equation you can use to solve for m∠C is:

m∠C = 68°