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

- richyw

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

- katieb

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- Hero

This ought to be interesting

- richyw

|dw:1352873514894:dw|

- Hero

And what exactly were you asked to do with that?

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## More answers

- richyw

given that \(m\angle Q=42^{\circ}\), and the line NQ bisects \(\angle MNP\), and the line PQ bisects \(\angle MPR\) Find \(m\angle M\)

- richyw

not sure if it's the notation that is throwing me off?

- UnkleRhaukus

|dw:1352873934959:dw|

- UnkleRhaukus

the internal angle sum of a triangle is 180°
the internal angle sum of a quadrilateral is 360°

- UnkleRhaukus

are the lines QM and RN parallel by any chance?

- richyw

I wasn't sure, but I tried under that assumption.

- richyw

oh the answer is 84 by the way. This isn't what I got

- richyw

yup just tried again. is anyone actually trying this?

- UnkleRhaukus

im trying

- UnkleRhaukus

i dont think those lines could be parallel

- richyw

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.

- UnkleRhaukus

|dw:1352875825955:dw|

- Hero

|dw:1352876464319:dw|
More assumptions

- richyw

I have to give up! If someone figures it out please post it. I really don't know.

- anonymous

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....

- anonymous

What's the answer? 84? if it's 84 then its parallel...

- richyw

how did you work that out?

- anonymous

|dw:1352887526794:dw|

- Hero

@Shadowy, your logic appears to be flawed:
2(42) + 2x = 180? How?

- anonymous

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

- Hero

Bro, there's no evidence that suggests MPN is isosceles

- Hero

@Shadowys

- anonymous

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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