isaiahh223gLv4

3 May 2022

Given: 1 and 2 are vertical angles.

m 1 = 5(x+12), and m 2 = 145

 

Prove: x = 17

      Statement:                                     Reason:

1. 1 and 2 are vertical angles                   1. Given

2. m 1 = m 2                           2. Definition of vertical angles

3. m 1= 5 (x+12)                   3. Given

4. m 1= 5x+60                      4. [?]

5.  m 1 = 145                              5. Given

6. 5x+60 = 145                          6.Distributive Property

7. 5x = 85                                    7. Subtraction Equality of Property

8. x = 17                                         8. 

 

Select the reason that best supports Statement 8 in the given proof.

A. Subtraction Property of Equality

B. Distributive Property 

C. Transitive Property

D. Division Property of Equality