In Fig. 6.31, if `P Q"\ "||"\ "S T ,/_P Q R=110o"\ "a n d/_R S T=130o,"\ "fin d/_Q R S` .

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 Fig. 6.43, if P Q_|_P S , P Q|| S R , /_S Q R=28^@ and /_Q R T=65^@ , then find the values of x and y.

In Fig.103, P Q R S\ a n d\ /_P A B=60^0\ a n d\ /_A C S=100^0dot Then, /_B A C= (a) ( b ) (c) (d) (e) 40^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 60^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 80^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 50^(( q )0( r ))( s ) (t) (u)

In Fig. 6.15, /_P Q R=/_P R Q , then prove that /_P Q S=/_P R T .

In Fig. 4.90, if P O S ~ R O Q , prove that P S Q R . (FIGURE)

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. 4.90, if P S Q R , prove that P O S ~ R O Q . (FIGURE)

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

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 .