In a diagram <A and <B are vertical angles, and <B is a complimentary angle with <C. If m<A = 22, write an equation you can use to solve for m<C

Answer 1

Since <A and <B are vertical angles, they are congruent. Therefore, m<A = m<B = 22.

Also, since <B and <C are complementary angles, their measures add up to 90 degrees. Therefore, m<B + m<C = 90.

Using the given information, we can substitute m<A = 22 into the equation above:

22 + m<C = 90

This is the equation we can use to solve for m<C.