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

Answer 1

Vertical angles are congruent, so m<A = m<C.

Since <B is complementary with <C, we know that:

m<B + m<C = 90°

Since <A and <B are vertical angles:

m<A = m<B

Therefore, we can rewrite the equation as:

m<A + m<C = 90°