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Question

anonymous · Answer

Hello,

Here is a hint, a straight line is $180^{\circ}$.

Peace.

(Let me know if you still do not have any idea on what to do.)

gokuporter · Answer

@Algorithmic

anonymous · Answer

Sorry, OpenStudy did not notify me. So do you know where to continue from that hint I gave you?

gokuporter · Answer

no, can we do this step by step

anonymous · Answer

Sure.

anonymous · Answer

Okay so notice line $n$. Line $t$ that intersects line $n$ is a straight line. A straight line is $180$ degrees, so $180 - 48 =$ the angle under angle 48. Follow so far?

gokuporter · Answer

yes go on

anonymous · Answer

The lines are congruent, you can tell this by the $>>$ symbol. So for line $m$ the same is true. Since the lines are congruent, we can say the the angles mirror each other. So what is the opposite angel, of the angle $x$?

gokuporter · Answer

what about t

anonymous · Answer

Line $t$ intersects both lines in the same fashion. So since we know the bottom it mirrors to the top as well. 

Ergo, where you see $48$ degrees on the bottom, you see the same on the top.

anonymous · Answer

Maybe a picture would help better? See this: https://i.imgur.com/2vf0S3j.png

gokuporter · Answer

so x is 132?

anonymous · Answer

Nope, remember the bottom mirrors the top.

anonymous · Answer

Since the lines are congruent, the angles will be the same too.

gokuporter · Answer

84?