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°, write an equation that you can use to solve for m-angle C
Because angle A and angle B are vertical angles, we know that m-angle A = m-angle B.
Since angle B is a complementary angle with angle C, we know that m-angle B + m-angle C = 90°.
Given that m-angle A = 22°, we can substitute that into the equations to get:
m-angle B = 22°
22° + m-angle C = 90°
Now we can solve for m-angle C:
m-angle C = 90° - 22°
m-angle C = 68°
Therefore, the equation to solve for m-angle C is m-angle B + m-angle C = 90°, and the solution is m-angle C = 68°.