In the given situation, since ∠A and ∠B are vertical angles, they are equal. Therefore, we can say that:
m∠A = m∠B
Since m∠A = 22°, we can write:
m∠B = 22°
Next, ∠B is complementary to ∠C, which means that the sum of their measures is 90°. We can express this relationship with the following equation:
m∠B + m∠C = 90°
Now we can substitute the value of m∠B into the equation:
22° + m∠C = 90°
This is the equation we can use to solve for m∠C.