Question

6. In Fig. 6.44, the side QR of APQR is produced to a point S. If the bisectors of Z PQR and Z PRS meet at point T, then prove that ZQTR = QPR. R Fig. 6.44

11th - 12th Class

Maths

Solution

151

4.0 (1 ratings)

from fig, we can oay that ( angle P varphi T=L T R R ) ( L T R P=L T R S ) ( because angle Q P R+angle P O R=angle P R S quadleft(begin{array}{c}text { Sum of } text { interion on } pend{array}right. ) ( Rightarrow quad frac{1}{2} log R+frac{1}{2} ) LP ( varphi R=frac{1}{2} ) LPRS andey ( Rightarrow quad frac{1}{2} operatorname{LPP} R+angle operatorname{TPR} mathbb{E}=operatorname{LTRS}-C ) ( operatorname{In} Delta Q T R ) ( angle T Q R+angle Q T R=L T R S ) (1) / Scun of int anple) ( 0-(11) ) >) ( frac{1}{2} log P R-angle operatorname{gln}=0 ) ( Rightarrow quad L g T R=frac{1 L text { pPR }}{2} ) haved. ( quad f(2 ) sine