In a diagram, angle A and angle B are vertical angles, and angle B is a complementary angle with angle C. If the measure of angle A is 22°, write an equation to solve for the measure of angle C.
Since angle A and angle B are vertical angles, they are congruent. Therefore, the measure of angle B is also 22°.
Angle B and angle C are complementary angles, meaning that the sum of their measures is 90°.
So, the equation to solve for the measure of angle C is:
angle B + angle C = 90°
Substituting the known values:
22° + angle C = 90°