Question

i Fig. 6. 74. the side QR of APQR is produced to
a point s. If the bisectors of Z POR and
PRS meet at point T, then prove that
ZQTR = OPR
R
Fig. 6.44​

Answer 1

Step-by-step explanation: Hmmm, very easy!

∠PRS=∠QPR+∠PQR,·················(1)                                                                   Similarly,∠TRS=∠TQR+∠QTR····················(2)

∠PQR=1/2∠TQR, Substitute this in (1)

Similarly, ∠TRS=1/2∠PRS, Substitute in (2)

You will get ∠PRS=∠QPR+1/2∠TQR,.........................(3)

Similarly, ∠1/2∠PRS=∠TQR+∠QTR.........................(4)

Add (3) and (4), you will get :∠QTR=1/2∠QPR,

Long story short, this sum needs practise , dont byhard this!