In Fig 7.51, ```P R\ >\ P Q`and PS bisects `/_Q P R`. Prove that `/_P S R\ >/_P S Q`.

In Figure, O P ,\ O Q ,\ O R\ a n d\ O S are four rays. Prove that /_P O Q+\ /_Q O R+\ /_S O R+\ /_P O S=360^0

In Figure, P S=P R ,\ \ /_T P S=\ /_Q P Rdot Prove that P T=P Q

In Figure, P S=Q R\ a n d\ /_S P Q=/_R Q Pdot Prove that P Q S\ ~=\ Q P R ,\ P R=Q S\ a n d\ /_Q P R=\ /_P Q S

In Figure, /_P Q R=\ /_P R Q , then prove that /_P Q S=\ /_P R Tdot

In Fig. 4.33, (P S)/(S Q)=(P T)/(T R) and /_P S T=/_P R Q . Prove that P Q R is an isosceles triangle. (FIGURE)

In Figure, If P Q=P T\ a n d\ /_T P S=/_Q P R , prove that \ P R S is isosceles

In Figure, P Q > P R. Q S\ a n d\ R S are the bisectors of /_ Q and /_R respectively. Prove that S Q > S R .

In Fig. 4.100, if (Q T)/(P R)=(Q R)/(Q S) and /_1=/_2 . Prove that P Q S ~ T Q R . (FIGURE)

If P + Q = R and P - Q = S, prove that R^2 + S^2 = 2(P^2 + Q^2)

If P + Q = R and P - Q = S, prove that R^2 + S^2 = 2(P^2 + Q^2)