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
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.