In figure, the side `QR `of `Delta PQR `is produced to a point S. If the bisectors. of `/_PQR and /_PRS` meet at point T, then prove that `/_QTR = 1/2 /_QPR`.

In Fig. 6.44, the side QR of triangle PQR is produced to a point S. If the bisectors of angle PQR and angle PRS meet at point T, then prove that angle QTR =1/2 angle QPR .

In figure, sides QP and RQ of DeltaPQR are produced to points S and T respectively. If /_SPR = 135^@ and /_PQT = 110^@ , find /_PRQ .

In fig. , the sides QP and RQ of a DeltaPQR are produced to points S and T respectively. If angleSPR = 135^@ and anglePQT = 110^@ then the value of anglePRQ is :

In fig. , the sides QP and RQ of a DeltaPQR are produced to points S and T respectively. If angleSPR = 135^@ and anglePQT = 110^@ then the value of anglePRQ is :

If S is the mid-point of side QR of a DeltaPQR , then prove that PQ+PR=2PS .

In Fig. 6.38, the sides AB and AC of Delta ABC are produced to points E and D respectively. If bisectors BO and CO of angle CBE and angle BCD respectively meet at point O, then prove that angle BOC = 90^@ -1/2 angle BAC .

In Fig. 6.56, PS is the bisector of angle QPR of Delta PQR . Prove that (QS)/(SR)=(PQ)/(PR)

In trianglePQR , S is the point on the side QR. Prove that PQ+QR+RP>2PS