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
Since ∠A and ∠B are vertical angles, they are congruent. Therefore, m∠B = m∠A = 22°.
Since ∠B is complementary to ∠C, we have the equation:
m∠B + m∠C = 90°
Substituting the value of m∠B, we get:
22° + m∠C = 90°
Therefore, the equation we can use to solve for m∠C is:
m∠C = 90° - 22° = 68°