isaiahh223gLv4

3 May 2022

Given: A and B form a linear pair,

B and C are complementary, and m A = 103

Prove: m C=13

 

             Statement:                                         Reason:

1. A and B form a linear pair                   1. Given

2. m A+m B=180}                                2. Postulate 

3. m A=103                                             3. Given

4. 103 + m B=180                                4. Substitution

5. m B=77                                              5. [?]

6. B and C are complementary               6. Given

7. m B + m C=90                                7. Definition

8. 77+m C=90                                      8. Substitution

9. m C=13                                             9.

 

Select the reason that best supports Statement 5 in the given proof.

A. Multiplication Property of Equality

B. Subtraction Property of Equality

C. Division Property of Equality

D. Addition Property of Equality