Gokuporter
  • Gokuporter
http://prntscr.com/7f4613
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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
  • Gokuporter
@Algorithmic
anonymous
  • anonymous
Sorry, OpenStudy did not notify me. So do you know where to continue from that hint I gave you?

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Gokuporter
  • Gokuporter
no, can we do this step by step
anonymous
  • anonymous
Sure.
anonymous
  • anonymous
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
  • Gokuporter
yes go on
anonymous
  • anonymous
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
  • Gokuporter
what about t
anonymous
  • anonymous
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
  • anonymous
Maybe a picture would help better? See this: https://i.imgur.com/2vf0S3j.png
Gokuporter
  • Gokuporter
so x is 132?
anonymous
  • anonymous
Nope, remember the bottom mirrors the top.
anonymous
  • anonymous
Since the lines are congruent, the angles will be the same too.
Gokuporter
  • Gokuporter
84?

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