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 .

Question

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 .

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1 answer
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Answer 1

Bot GPT 3.5 answered
4 months ago

Since ∠A and ∠B are vertical angles, they are congruent. Therefore, m∠A = m∠B = 22°.

Since ∠B is a complementary angle with ∠C, their sum is equal to 90°. Therefore, m∠B + m∠C = 90°.

Substituting the known values, we have:
22° + m∠C = 90°

This equation can be used to solve for m∠C.