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richyw

Was trying to help someone with a highschool geometry problem. Now I am stuck myself

  • one year ago
  • one year ago

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  1. Hero
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    This ought to be interesting

    • one year ago
  2. richyw
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    |dw:1352873514894:dw|

    • one year ago
  3. Hero
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    And what exactly were you asked to do with that?

    • one year ago
  4. richyw
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    given that \(m\angle Q=42^{\circ}\), and the line NQ bisects \(\angle MNP\), and the line PQ bisects \(\angle MPR\) Find \(m\angle M\)

    • one year ago
  5. richyw
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    not sure if it's the notation that is throwing me off?

    • one year ago
  6. UnkleRhaukus
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    |dw:1352873934959:dw|

    • one year ago
  7. UnkleRhaukus
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    the internal angle sum of a triangle is 180° the internal angle sum of a quadrilateral is 360°

    • one year ago
  8. UnkleRhaukus
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    are the lines QM and RN parallel by any chance?

    • one year ago
  9. richyw
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    I wasn't sure, but I tried under that assumption.

    • one year ago
  10. richyw
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    oh the answer is 84 by the way. This isn't what I got

    • one year ago
  11. richyw
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    yup just tried again. is anyone actually trying this?

    • one year ago
  12. UnkleRhaukus
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    im trying

    • one year ago
  13. UnkleRhaukus
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    i dont think those lines could be parallel

    • one year ago
  14. richyw
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    that is what I figured as well. so I attempted by just assuming that N,P and R all lie on one line. But then I can't figure out if there is a solution.

    • one year ago
  15. UnkleRhaukus
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    |dw:1352875825955:dw|

    • one year ago
  16. Hero
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    |dw:1352876464319:dw| More assumptions

    • one year ago
  17. richyw
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    I have to give up! If someone figures it out please post it. I really don't know.

    • one year ago
  18. Shadowys
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    The question seems to be missing something. Is there a length somewhere? Or maybe it's cylic? It's brings me to a wild goose chase....

    • one year ago
  19. Shadowys
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    What's the answer? 84? if it's 84 then its parallel...

    • one year ago
  20. richyw
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    how did you work that out?

    • one year ago
  21. Shadowys
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    |dw:1352887526794:dw|

    • one year ago
  22. Hero
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    @Shadowy, your logic appears to be flawed: 2(42) + 2x = 180? How?

    • one year ago
  23. Shadowys
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    Well,since \(\Delta \)MPN is an isosceles triangle, angle MPN=angle MNP, so at the point P, y=42, 2y+2x=180.

    • one year ago
  24. Hero
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    Bro, there's no evidence that suggests MPN is isosceles

    • one year ago
  25. Hero
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    @Shadowys

    • one year ago
  26. Shadowys
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    If and only if the MQ and NP is parallel, then as shown above, QM=MP=MN. And the answer happens to be 84. So this assumption is right.

    • one year ago
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