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?

Answer 1

A.) 240°

B.) 150˚

C.) 120°

D.) 300˚

Answer 2

It is 120 degrees. Would you like me to explain?

Answer 3

i thought it was but please do

Answer 4

Okay, well, the angle that was given, the 60 degrees, is supplementary to angle PKF. That is, they add up to 180 degrees. Now, knowing that the two lines are parallel, you can use the congruent angels theorem to find that angle GMS is 120 degrees, since angle PKF is 120 degrees.

Answer 5

ok so u basically subtracted 180-60=120

Answer 6

Yessir.

Answer 7

thank you

Answer 8

You're very welcome. Any time.