Point Z is on side PR of triangle PQR such that m<PZQ = m<PQZ, and m<PQR - m<PRQ = 42. Find m<RQZ

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I have a problem that I can't really figure out, it's quite difficult. I was hoping somebody here could try it. It's from AoPS Introduction to Geometry.



Point Z is on side PR of triangle PQR such that m


m< for measure of, to clarify.




geometry triangle problem-solving angle




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  • Express $angle QPR$ in terms of $angle PRQ$. From this, find $angle PQZ$.
    – Maxim
    Jul 29 at 17:27














up vote
0
down vote

favorite












I have a problem that I can't really figure out, it's quite difficult. I was hoping somebody here could try it. It's from AoPS Introduction to Geometry.



Point Z is on side PR of triangle PQR such that m


m< for measure of, to clarify.




geometry triangle problem-solving angle




share|cite|improve this question



















  • Express $angle QPR$ in terms of $angle PRQ$. From this, find $angle PQZ$.
    – Maxim
    Jul 29 at 17:27












up vote
0
down vote

favorite









up vote
0
down vote

favorite











I have a problem that I can't really figure out, it's quite difficult. I was hoping somebody here could try it. It's from AoPS Introduction to Geometry.



Point Z is on side PR of triangle PQR such that m


m< for measure of, to clarify.




geometry triangle problem-solving angle




share|cite|improve this question











I have a problem that I can't really figure out, it's quite difficult. I was hoping somebody here could try it. It's from AoPS Introduction to Geometry.



Point Z is on side PR of triangle PQR such that m


m< for measure of, to clarify.





geometry triangle problem-solving angle





share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









asked Jul 28 at 17:34









Jasper Antonelli

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  • Express $angle QPR$ in terms of $angle PRQ$. From this, find $angle PQZ$.
    – Maxim
    Jul 29 at 17:27
















  • Express $angle QPR$ in terms of $angle PRQ$. From this, find $angle PQZ$.
    – Maxim
    Jul 29 at 17:27















Express $angle QPR$ in terms of $angle PRQ$. From this, find $angle PQZ$.
– Maxim
Jul 29 at 17:27




Express $angle QPR$ in terms of $angle PRQ$. From this, find $angle PQZ$.
– Maxim
Jul 29 at 17:27















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