Parallel Lines.

Q.

(a) In the given figure, prove that lines lm & nq are parallel to each other. [3 MARKS]

(b) What is the value of "x” if AB is parallel to CD in the figure?

Q.

As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If $\angle DQX=x^{\circ }$ then find $\angle APY$ .

Q. The corresponding angles formed when two parallel lines are cut by a transversal are equal.

1. True
2. False

Q.

As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If $\angle DQX=x^{\circ }$ then $\angle APY=$ ___.

1. $x^{\circ }$

2. $180-x^{\circ }$

3. ${180}^{\circ }$

4. $90-x^{\circ }$

Q. In the figure, if line m and n are parallel and line p is a transversal then find x.

1. 135 degree
2. 90 degree
3. 45 degree
4. 40 degree