- anonymous

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?

- jamiebookeater

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- anonymous

##### 1 Attachment

- anonymous

- anonymous

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

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## More answers

- lgbasallote

yeah sure tag the poor lgba :(

- anonymous

- eyust707

It would be 180 - 60

- eyust707

which is...

- anonymous

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

- eyust707

sure

- anonymous

@eyust707 ..is it 120? how?

- eyust707

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

- eyust707

all the intersections are exactly the same

- eyust707

|dw:1339087829646:dw|

- eyust707

so those angles are exactly the same

- anonymous

oh ok!

- eyust707

|dw:1339087867430:dw|

- eyust707

so that angle is 60

- eyust707

and they told us its against a line

- eyust707

|dw:1339087912601:dw|

- eyust707

so from there to there is 180

- eyust707

all thats left is the difference

- anonymous

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!

- anonymous

will that technique work on all equations?

- eyust707

no!!

- eyust707

the arc simply mean that they are different angles

- eyust707

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

- anonymous

oh ok I see! thanx ;)

- eyust707

=)

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