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richyw

  • 3 years ago

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

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  1. Hero
    • 3 years ago
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    This ought to be interesting

  2. richyw
    • 3 years ago
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    |dw:1352873514894:dw|

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

  4. richyw
    • 3 years ago
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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 \(m\angle M\)

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

  6. UnkleRhaukus
    • 3 years ago
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    |dw:1352873934959:dw|

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

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

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

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

  11. richyw
    • 3 years ago
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    yup just tried again. is anyone actually trying this?

  12. UnkleRhaukus
    • 3 years ago
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    im trying

  13. UnkleRhaukus
    • 3 years ago
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    i dont think those lines could be parallel

  14. richyw
    • 3 years ago
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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.

  15. UnkleRhaukus
    • 3 years ago
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    |dw:1352875825955:dw|

  16. Hero
    • 3 years ago
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    |dw:1352876464319:dw| More assumptions

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

  18. Shadowys
    • 3 years ago
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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....

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

  20. richyw
    • 3 years ago
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    how did you work that out?

  21. Shadowys
    • 3 years ago
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    |dw:1352887526794:dw|

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

  23. Shadowys
    • 3 years ago
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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.

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

  25. Hero
    • 3 years ago
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    @Shadowys

  26. Shadowys
    • 3 years ago
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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.

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