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 vgj,fu,dftu,fj,fu,iftu
To find the measure of ∠C, we know that ∠A and ∠B are vertical angles, so they have the same measure. Therefore, m∠B = 22°. Since ∠B is a complementary angle with ∠C, we know that:
m∠B + m∠C = 90°
Substitute the known values:
22° + m∠C = 90°
Now, solve for m∠C:
m∠C = 90° - 22°
m∠C = 68°
Therefore, m∠C = 68°.