In the following figure the side QR of Δ PQR is produced to a point S. If the bisectors of ∠PQR and ∠PRS meet at a point T, then prove that ∠QTR = 12∠QPR.

In the following figure the side QR of Δ PQR is produced to a point S

1.	In the following figure the side QR of Δ PQR is produced to a point S. If the bisectors of ∠PQR and ∠PRS meet at a point T, then prove that ∠QTR = 12∠QPR.
Answer» In the following figure the side QR of Δ PQR is produced to a point S. If the bisectors of ∠PQR and ∠PRS meet at a point T, then prove that ∠QTR = $\frac{1}{2}$ ∠QPR.