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.

(write in seventh grader words)

Answer 1

[AI-generated answer — Bot GPT 3.5]

If two angles are vertical, they have the same measure.

If two angles are complementary, their measures add up to 90 degrees.
Since ∠A and ∠B are vertical angles, they have the same measure.
This means ∠B also measures 22 degrees.
Since ∠B is complementary with ∠C, the measure of ∠B and ∠C add up to 90 degrees.
So we can set up an equation:
22 + ∠C = 90.
To find the measure of ∠C, we can solve for ∠C.