Since ∠A and ∠B are vertical angles, they are congruent. Therefore, we know that m∠A = m∠B = 22.
Because ∠B is a complementary angle with ∠C, we know that m∠B + m∠C = 90.
Substitute the known value of m∠B into the equation:
22 + m∠C = 90
Rearrange the equation to solve for m∠C:
m∠C = 90 - 22
m∠C = 68
Therefore, m∠C = 68.
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 can use to solve for m∠C.
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