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 .(2 points)
Math Short Answer Rubric (2 points)
Points Awarded Criteria
2
The answer is correct. The student made no errors while solving.
The answer shows that the student used problem-solving skills and reasoning.
All work is shown or explained.
1
The answer is partially correct. The student made errors while solving.
The answer shows little problem-solving skills or reasoning.
Some work is shown or explained.
0 The question is not answered.
Since ∠A and ∠B are vertical angles, they are congruent. Therefore, m∠B = 22°.
Since ∠B is a complementary angle with ∠C, the sum of their measures is 90°. So, m∠B + m∠C = 90°.
Substitute m∠B = 22° into the equation:
22° + m∠C = 90°
Solve for m∠C:
m∠C = 90° - 22°
m∠C = 68°
Therefore, the equation used to solve for m∠C is 22° + m∠C = 90°.