LifeIsADangerousGame
  • LifeIsADangerousGame
Could someone help me with this Geometry question please?
Geometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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LifeIsADangerousGame
  • LifeIsADangerousGame
1 Attachment
mathstudent55
  • mathstudent55
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LifeIsADangerousGame
  • LifeIsADangerousGame
Could you explain it a little more? I don't really understand..

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mathstudent55
  • mathstudent55
|dw:1359930331078:dw|
mathstudent55
  • mathstudent55
The two angles I marked are called vertical angles. Vertical angles are congruent. That means they have the same measure. |dw:1359930401555:dw|
mathstudent55
  • mathstudent55
Since the measure of one angle is 3x - 40 and the other one is 2x - 10, and the measures are equal, that means 3x - 40 = 2x - 10 If you solve this equation, you get the value of x.
mathstudent55
  • mathstudent55
Do you follow so far?
LifeIsADangerousGame
  • LifeIsADangerousGame
Yes, so it's 3x - 40 = 2x - 10 +40 +40 3x = 2x + 30 -2x -2x x = 30 Is that right?
mathstudent55
  • mathstudent55
Good. Now since the measures of one angle is 3x - 40, and x = 30, what is the measure of the angle?
LifeIsADangerousGame
  • LifeIsADangerousGame
No wait, sorry it's 3(30) - 40
mathstudent55
  • mathstudent55
|dw:1359930857941:dw|
LifeIsADangerousGame
  • LifeIsADangerousGame
so that's 50 degrees?
mathstudent55
  • mathstudent55
right
mathstudent55
  • mathstudent55
|dw:1359930986373:dw|
LifeIsADangerousGame
  • LifeIsADangerousGame
y would equal 130 degrees
mathstudent55
  • mathstudent55
Correct, and that's what you are looking for.
LifeIsADangerousGame
  • LifeIsADangerousGame
Awesome! Thank you so much :D It looked so complicated o.o
mathstudent55
  • mathstudent55
If you break down the problem into simple steps, it's not that complicated. You're welcome.

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