Question

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

Answer 1

Since <A and <B are vertical angles, they are congruent, so <B also equals 22.

As <B is a complementary angle with <C, the sum of <B and <C is 90 degrees.

Therefore, the equation would be:

<B + <C = 90

Replacing <B with its value, the equation becomes:

22 + <C = 90