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

1 answer

Since A and B are vertical angles, they have the same measure. Therefore, m B = 22 degrees as well.

Given that B is a complementary angle with C, we know that m B + m C = 90 degrees.

Substitute the values we know:
22 + m C = 90

Therefore, the equation to solve for m C is:
m C = 90 - 22