Could I please get help trying to solve this problem for solving for m<PTR?

[craggy gulch]

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[narrow iron]

PQ||SR, so what can you say about specific angles

[devout forum]

Wait could you explain

so they're parallel but how could that help solving ptr

[narrow iron]

you can find some angles

[devout forum]

which ones cause I tried solving for angle p to start off

and got something like 116

[narrow iron]

SPR or QPS or QPR

[devout forum]

So if I wanted to find QPS would I subtract 68 from 41

then I would get p

something like that right

[narrow iron]

well thats not really useful

so consider triangle PTR

if you find two of the angles of that triangle you can get the angle you want

[devout forum]

ohh

hold on let me try that real quick

ok so for m<PTR i got 180 and for each of the separate ones

I got m<P of 58

m<R of 31

and m<T of 91

did I do anything wrong?

[narrow iron]

i dont really get it

issue with saying mP is there are three possible angles at P im not sure which one youre talking about

[devout forum]

Like within the PTR triangle

one next to PQT

[narrow iron]

and how did you get 58?

[devout forum]

I think I subracted the angle p from triangle pqt and t as well from the same triangle