Q Side QR of triangle PQR is produced to a point S as shown in the figure The - Maths - Triangles

Question

Q Side QR of triangle PQR is produced to a point S as shown in the
figure The bisector of P meets QR at T Prove that ∠ PQR +
∠ PRS = 2 ∠ PTR

Neha Sethi · Accepted Answer

Dear student
In △PQR,∠PRS=∠PQR+∠QPR   [By exterior angle sum property]    
(1)Also,In △PTR,∠PRS=∠PTR+∠TPR   [By exterior angle sum property]    
(2)∠PRS=∠PTR+∠TPQ    ∵∠TPR=∠TPQ
Please recheck your questions There seems to be some mistake in the
proving part
Regards

Q. Side QR of triangle PQR is produced to a point S as shown in the figure. The bisector of P meets QR at T. Prove that ∠ PQR + ∠ PRS = 2 ∠ PTR

Q. Side QR of triangle PQR is produced to a point S as shown in the figure. The bisector of P meets QR at T. Prove that $∠$ PQR + $∠$ PRS = 2 $∠$ PTR