In Fig. 5.55, l ||m and a line t intersects these lines at P and Q, respectively. Find the sum 2a + b.

In Fig. 5.61, l, m and n are parallel lines, and the lines p and q are also parallel. Find the values of a, b and c.

In Fig. 63, line l\ ||\ m and a transversal n cuts them at P and Q respectively. If /_1=75^0, find all other angles.

In Fig.51,l,m and n are parallel lines intersected by a transversal p at X,Y and Z respectively.Find /_1,/_2 and /_3. Give reasons.

In Fig.l,m and n are parallel lines intersected by transversal p atr X,Y and Z respectively.Find /_1,/_2 and /_3

In Fig. 4.238, S and T are points on the sides P Q and P R respectively of P Q R such that P T=2c m , T R=4c m and S T is parallel to Q R . Find the ratio of the areas of P S T and P Q R . (FIGURE)

In Figure,l,m and n are parallel lines intersected by a transversal at X,Y, and Z respectively.Find /_1,quad /_2 and /_3. Give reasons.

In Fig. 60, A B\ a n d\ C D are parallel lines intersected by a transversal P Q at L and M respectively. If /_L M D=35^0 find /_P L Adot

Let a given line L_(1) intersect the X and Y axes at P and Q respectively.Let another line L_(2) perpendicular to L_(1) cut the X and Y -axes at Rand S,respectively.Show that the locus of the point of intersection of the line PS and QR is a circle passing through the origin

Two circles intersect at two points B and C . Through B,two line segments ABD and PBQ are drawn to intersect the circles at A,D and P, Q respectively (see Fig.10.40). Prove that /_ACP=/_QCD