Circle problem: TP is tangent to circle PQRS, QR=QP, m(SPT)=32*, m(RSQ)=56*

[Laia]

Hi. Can someone check the answer for the questions I've attached in this post. I also attached my calculations. I just want to clarify whether my answer is right or not. If it's wrong, please suggest me the correct way. Or Even if there's no errors on the solution, please suggest me the other alternative ways that I can solve for the require angles.

 

[khansaheb]

Hi. Can someone check the answer for the questions I've attached in this post. I also attached my calculations. I just want to clarify whether my answer is right or not. If it's wrong, please suggest me the correct way. Or Even if there's no errors on the solution, please suggest me the other alternative ways that I can solve for the require angles.

 

[Laia]

View attachment 37079

Did you write anything back? Because I can't see any messages but just the question

 

[khansaheb]

Did you write anything back? Because I can't see any messages but just the question

No - I did not write anything back - because I am having difficulty with reading your write-up.

 

[Laia]

Oh my bad. Would you mind checking my answers with yours?

 

[Laia]

Also, the first line in the solution, the reason should be ( angles in the same segment). I wrote it wrong

 

[Dr.Peterson]

Would you mind checking my answers with yours?

It looks right to me, and I don't immediately see a better approach. Is there a part you are questioning?

 

[Laia]

I just want to check my answer

 

[Dr.Peterson]

If you need confirmation, here is an accurate drawing: