## skaterman665 Group Title HELP HELP HELP line bd bisects angle abc. abc = 8x. and = 2x22. find db one year ago one year ago

1. enya.gold

Do you know what a bisector is?

2. skaterman665

yes a line that intersects an angle. im just confused

3. enya.gold

Sorry, i got cut off there. The whole angle is 8x. ABD is 2x + 22. BD bisects the angle.

4. enya.gold

DBC is 2x + 22. A bisector cuts the angle in half. A half + a half = a whole, but there is still TWO parts to it. What can you do using 2?

5. enya.gold

Think division.

6. skaterman665

im sorry im still lost. i keep thinking too hard. what do i do with x?

7. enya.gold

2x + 22 = 8x / 2 BD "cuts" ABC in half.

8. enya.gold

Multiply both sides by 2. You will end up with this equation:$2(2x + 22) = 2(\frac{ 8x }{ 2 })$

9. skaterman665

ohhhhhh im sorry haha I forgot there was 8x

10. enya.gold

$8x = (4x + 44) / 4$$44 \div 4$

11. enya.gold

Plug x into the equation now. 4(x) + 44

12. enya.gold

Check your answer. 8x = 8(x) = ?? Tell me what you come up with.

13. skaterman665

wait, does x now equal 11?

14. enya.gold

Yes, Gj! :)

15. enya.gold

X is 11, which means that DBC =

16. skaterman665

88?

17. skaterman665

oops i ment 44

18. enya.gold

88 = 4(11) + 44

19. enya.gold

DBC = 44 ABC = 88

20. enya.gold

Remember when I said that DBC = 2x + 22? That's right too. DBC = 2(11) + 22 It's a puzzle that requires a little thinking. :)

21. skaterman665

ahh. thank you! for actualy taking the time to explain this, i really appreciate it:)