## Hbadgerdontcare 3 years ago __ BD bisects angle ABC. m angle ABC = 8x. M angle ABD = 2x+22. Find m angle DBC. Please show work

1. AriPotta

|dw:1352609221953:dw|

2. AriPotta

2(2x + 22) = 8x

hhow would u figure all that out mathematically can you show me how to do it

4. AriPotta

you would distribute the 2 into the parentheses first

start from the top

like the beginning

7. AriPotta

|dw:1352609494307:dw| this angle = 8x

i need to be able to type how i got everything like a explanation

9. AriPotta

|dw:1352609533315:dw| line BD is an angle bisector, so both of those angles would be congruent

10. AriPotta

since angles ABD and DBC are adjacent angles that make up angle ABC, we can say that 2(2x + 22) = 8x

12. AriPotta

no

13. AriPotta

what do you get after distributing the 2?

ummmm

15. AriPotta

you know about the distributive property, yes?

yes but i suck at it

17. AriPotta

all you do is multiply though :/

so 2 * 2x = 4x + 44 = 8x?

19. AriPotta

after distributing, you should get 4x + 44 = 8x, yes.

20. AriPotta

now what do you do?

so then its 44 / 4 = 11 x = 11?

22. AriPotta

you didn't show that you subtracted 4x from 8x, but yes. x = 11 :)

so whats the answer? whats DBC?

24. AriPotta

angle DBC = 2x + 22, so just substitute 11 for x in that equation to get your answer

oh thank you so much!!!

26. AriPotta

no problem :)

so DBC is 44?

28. AriPotta

yes