Question

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?

240°

150°

120°

300°

Answer 1

@ganeshie8

Answer 2

first, the measure of angle <RNE = <PKN = 60 degrees (they are corresponding angles)

Answer 3

then take an equation :
<RNE + <GMS = 180 (they are consecutive exterior angles)
60 + <GMS = 180
subtract by 60 to btoh sides, giving us
60 + <GMS - 60 = 180 - 60
<GMS = 120 deg

Answer 4

does that make sense ?

Answer 5

Yes , I thought it would be 120 but I just wanted to get an extra opinion :) Thank you.

Answer 6

you're welcome :)