isaiahh223gLv4

3 May 2022

Given: ABC is bisected by ray BD.

m ABD = 8(x+4), and m DBC = 64

 

Prove: x = 4

      Statement:                                     Reason:

1. BD bisects ABC                  1. Given

2. m ABD = m DBC                2. Definition of Bisector

3. m ABD = 8 (x+4)                   3. Given

4. m DBC = 64                            4. Given

5. 8 (x+4) = 64                              5. Substitution

7. 8x+32 = 64                              7.Distributive Property

8. 8x = 32                                     8. [?]

9. x = 4                                         9. 

 

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

A. Subtraction Property of Equality

B. Addition Property of Equality

C. Multiplication Property of Equality

D. Division Property of Equality