In Fig. 6.39, sides QP and RQ of DeltaP Q R are produced to point S and T respectively. If /_S P R=135^@ and /_P Q T=110^@ , find /_P R Q.

In Fig. 6.44, the side QR of PQR is produced to a point S. If the bisectors of /_P Q R and /_P R S meet at point T, then prove that /_Q T R=1/2/_Q P R .

In Fig. 6.31, if P Q || S T , /_P Q R=110^@ \ a n d /_R S T=130^@ , find /_Q R S .

In Figure, P Q R S is a rhombus in which the diagonal P R is produced to Tdot If /_S R T=152^0,\ find x ,\ y\ a n d\ z

In Fig. 6.42, if lines PQ and RS intersect at point T, such that /_P R T=40^@, /_R P T=95^@ and /_T S Q=75^@, find /_S Q T .

In Delta P Q R , if P Q=Q R and L ,M and N are the mid-points of the sides P Q ,Q R and R P respectively. Prove that L N=M Ndot

In figure PS is the bisector of /_Q P R of DeltaP Q R . Prove that (Q S)/(S R)=(P Q)/(P R) .

In Figure, P Q R S is a quadrilateral. P Q is its longest side and R S is its shortest side. Prove that /_R > /_P a n d /_S > /_Q Given : P Q R S is a quadrilateral. P Q is its longest side and R S is its shortest side. To Prove : (i) /_R > /_P (ii) /_S > /_Q Construction : Joint P R a n d Q S

Find the coordinates of points P,Q,R and S in Figure.

In Figure, P Q R S is a square and T\ a n d\ U are, respectively, the mid-points of P S\ a n d\ Q R . Find the area of O T S\ if P Q=8\ c mdot