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Since angle A and angle B are vertical angles, they are congruent, meaning that m angle A = m angle B. If angle B is a complementary angle with angle C, then angle B + angle C = 90°.
Given that m angle A = 22°, we can write the equation as:
m angle A = m angle B = 22°
Since angle B is a complementary angle with angle C, we can write the equation as:
m angle B + m angle C = 90°
Substitute m angle B = 22° into the equation:
22° + m angle C = 90°
Solve for m angle C:
m angle C = 90° - 22°
m angle C = 68°
Therefore, m angle C = 68°.