## richyw 3 years ago Was trying to help someone with a highschool geometry problem. Now I am stuck myself

1. Hero

This ought to be interesting

2. richyw

|dw:1352873514894:dw|

3. Hero

And what exactly were you asked to do with that?

4. richyw

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

5. richyw

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

6. UnkleRhaukus

|dw:1352873934959:dw|

7. UnkleRhaukus

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

8. UnkleRhaukus

are the lines QM and RN parallel by any chance?

9. richyw

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

10. richyw

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

11. richyw

yup just tried again. is anyone actually trying this?

12. UnkleRhaukus

im trying

13. UnkleRhaukus

i dont think those lines could be parallel

14. 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.

15. UnkleRhaukus

|dw:1352875825955:dw|

16. Hero

|dw:1352876464319:dw| More assumptions

17. richyw

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

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....

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

20. richyw

how did you work that out?

|dw:1352887526794:dw|

22. Hero

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

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

24. Hero

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

25. Hero