in a diagram angle a and angle B are vertical angles and angle B is a complementary angle with angle C if M angle a = 22° right and equation that you can use to solve for M angle C
We know that:
Angle A and Angle B are vertical angles, so they are equal in measure:
m∠A = m∠B
Angle B is complementary with Angle C, so their measures add up to 90 degrees:
m∠B + m∠C = 90°
Given that m∠A = 22°, we substitute this into the equation for vertical angles:
m∠B = 22°
Substitute this value into the equation for complementary angles:
22° + m∠C = 90°
Solve for m∠C:
m∠C = 90° - 22°
m∠C = 68°
Therefore, the measure of Angle C is 68 degrees.