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Since <A and <B are vertical angles, they are congruent. Therefore, m<A = m<B = 22.
Also, since <B and <C are complementary angles, their measures add up to 90 degrees. Therefore, m<B + m<C = 90.
Using the given information, we can substitute m<A = 22 into the equation above:
22 + m<C = 90
This is the equation we can use to solve for m<C.