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LifeIsADangerousGame

  • 2 years ago

Could someone help me with this Geometry question please?

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  1. LifeIsADangerousGame
    • 2 years ago
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  2. mathstudent55
    • 2 years ago
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    m<PJK = m<DJB bec of vertical angles. Substitute the expressions with x and solve for x. Then use x to get the measure of angle PJK Then m<PJK + m<KJD = 180

  3. LifeIsADangerousGame
    • 2 years ago
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    Could you explain it a little more? I don't really understand..

  4. mathstudent55
    • 2 years ago
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    |dw:1359930331078:dw|

  5. mathstudent55
    • 2 years ago
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    The two angles I marked are called vertical angles. Vertical angles are congruent. That means they have the same measure. |dw:1359930401555:dw|

  6. mathstudent55
    • 2 years ago
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    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.

  7. mathstudent55
    • 2 years ago
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    Do you follow so far?

  8. LifeIsADangerousGame
    • 2 years ago
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    Yes, so it's 3x - 40 = 2x - 10 +40 +40 3x = 2x + 30 -2x -2x x = 30 Is that right?

  9. mathstudent55
    • 2 years ago
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    Good. Now since the measures of one angle is 3x - 40, and x = 30, what is the measure of the angle?

  10. LifeIsADangerousGame
    • 2 years ago
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    No wait, sorry it's 3(30) - 40

  11. mathstudent55
    • 2 years ago
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    |dw:1359930857941:dw|

  12. LifeIsADangerousGame
    • 2 years ago
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    so that's 50 degrees?

  13. mathstudent55
    • 2 years ago
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    right

  14. mathstudent55
    • 2 years ago
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    |dw:1359930986373:dw|

  15. LifeIsADangerousGame
    • 2 years ago
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    y would equal 130 degrees

  16. mathstudent55
    • 2 years ago
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    Correct, and that's what you are looking for.

  17. LifeIsADangerousGame
    • 2 years ago
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    Awesome! Thank you so much :D It looked so complicated o.o

  18. mathstudent55
    • 2 years ago
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    If you break down the problem into simple steps, it's not that complicated. You're welcome.

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