## Colt45 3 years ago Find the value of x. Then find the measure of each labeled angle

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1. Colt45

|dw:1351132812622:dw|

2. lgbasallote

ahh transversals huh

3. Colt45

i guess so

4. lgbasallote

here's a hint: |dw:1351132987818:dw| those angles are equal

5. lgbasallote

does that give you any ideas?

6. Colt45

i just dont know where to start

7. Colt45

i dont know what to make it equal

8. lgbasallote

from your drawing...what are the angles that are equal?

9. Colt45

3x+23 and y

10. lgbasallote

and?

11. lgbasallote

what else?

12. Colt45

idk

13. lgbasallote

14. Colt45

do i combine the two equations and make them equal to 180

15. lgbasallote

|dw:1351133521610:dw| what are the angles there?

16. Colt45

the top left one needs to be down on the underside of that line in my picture i tried to draw a arrow

17. lgbasallote

?

18. lgbasallote

well then...that's different....

19. Colt45

|dw:1351133688499:dw|

20. lgbasallote

so only 3x + 23 are equal

21. lgbasallote

3x + 23 and y are equal*

22. Colt45

23. lgbasallote

then 2x + 12 and y are linear pairs....so like you said...they add up to 180 2x + 12 + y = 180

24. lgbasallote

and since y and 3x + 23 are equal, you can substitute 2x + 12 + 3x + 23 = 180 solve for x

25. Colt45

y is the same as 3x + 23?

26. lgbasallote

do you know the rest from there?

27. Colt45

only if x = 29...

28. Colt45

i think so

29. lgbasallote

2x + 12 + 3x + 23 = 180 5x + 35 = 180 5x = 145 x = 29 right

30. Colt45

i got it. thanks