Question

(Score for Question 3

of 5 points)
3. Provide reasons for the proof.
Given:22 24
and 22 and 23 are supplementary
Prove: 2123
Answer:
1.22%24
2 m/2 m/4
3. 22 and 23 are supplementary
4. m/2 m/3-180
Statement
5. 21 and 24 are supplementary
6. m/1 m/4-180°
7. m/1 m/4=m/2+m/3
8. m/+m/4m24+ m23
9. m/1-m
10. 2123
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1. Given
3. Given
2. Angle congruence postulate
5.
4. Definition of supplementary angles
M
7.
Reason
6. Definition of supplementary angles
d
10.
Page 3 of 3

Answer 1

5. Definition of a linear pair

7. Transitive property of equality

8. Substitution

9. Subtraction property of equality

10. Definition of congruent angles