In a diagram, ∠A and ∠B are vertical angles, and ∠B is a complementary angle with ∠C. If m∠A=22°, write an equation that you can use to solve for m∠C.(2 points) In your own new words
To solve for the measure of angle C, we need to consider the relationships between the angles in the diagram.
Since ∠A and ∠B are vertical angles, they are equal in measure. Therefore, we can write:
m∠A = m∠B = 22°
Since ∠B is a complementary angle with ∠C, the sum of their measures is 90°. Therefore, we can write:
m∠B + m∠C = 90°
Substituting the measure of angle B as 22°, we get:
22° + m∠C = 90°
This equation can be used to solve for the measure of angle C by isolating the variable on one side of the equation.