## hellokitty357 3 years ago The figure below shows a pair of parallel oil pipelines, PQ and RS. EF and GH are maintenance walkways that are parallel to each other. What is the measure of angle GMS?

1. hellokitty357

2. hellokitty357

@ShotGunGirl

3. ShotGunGirl

Oh I'm sorry<3 I don't know this one. Try @ParthKohli or @lgbasallote I'm really sorry.

4. lgbasallote

yeah sure tag the poor lgba :(

5. hellokitty357

@AccessDenied

6. eyust707

It would be 180 - 60

7. eyust707

which is...

8. hellokitty357

120..but can you explain to me why? becuase I want to learn for next time!

9. eyust707

sure

10. hellokitty357

@eyust707 ..is it 120? how?

11. eyust707

if you have 4 parallel lines like this |dw:1339087707750:dw|

12. eyust707

all the intersections are exactly the same

13. eyust707

|dw:1339087829646:dw|

14. eyust707

so those angles are exactly the same

15. hellokitty357

oh ok!

16. eyust707

|dw:1339087867430:dw|

17. eyust707

so that angle is 60

18. eyust707

and they told us its against a line

19. eyust707

|dw:1339087912601:dw|

20. eyust707

so from there to there is 180

21. eyust707

all thats left is the difference

22. hellokitty357

oh ok I see! terrific..there was another way I looked at it too! if you look at the picture angle K has one arc which measures 60 degrees, and angle M has two arcs! so I was thinking that I could multiply 60 times 2!

23. hellokitty357

will that technique work on all equations?

24. eyust707

no!!

25. eyust707

the arc simply mean that they are different angles

26. eyust707

they dont have to be different by a factor of 2 tho

27. hellokitty357

oh ok I see! thanx ;)

28. eyust707

=)