In Figure, it is given that `R T=T S ,\ /_1=2/_2\ a n d\ /_4=2/_3` . Prove that ` R B T\ ~=\ S A T`

In Figure, P Q R S is a quadrilateral and T\ a n d\ U are respectively points on P S and R S such that P Q=R Q ,\ /_P Q T=/_R Q U\ a n d\ /_T Q S=/_U Q Sdot Prove that Q T=Q Udot

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

In Fig. 4.99, if /_P=/_R T S , prove that R P Q ~ R T S . (FIGURE)

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

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

In Figure, if Q T_|_P R ,\ /_T Q R=40^@\ a n d\ \ /_S P R=30^@, find x\ a n d\ y .

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)

In Figure, P Q R S is a square and S R T is an equilateral triangle. Prove that P T=Q T (ii) /_T Q R=15^0

In Figure (P S)/(S Q)=(P T)/(T R) and /_P S T=/_P R Q . Prove that PQR is an isosceles triangle.

In Figure, if lines P Q\ a n d\ R S intersect at a point T such that /_P R T=40^@,\ /_R P T=95^@a n d\ /_T S Q=75^@, find /_S Q T .