Question

(a) There are two sets of parallel lines passing through a plane. A transverse line is intersecting the two set of lines. Find out the number of distinct intersecting point made by transverse line? [3 MARKS]

(b) The following diagram shows parallel lines cut by a transversal. Find x.

Answer 1

(a) Solution: 1 Mark
(b) Application of concept: 1 Mark
Correct Answer: 1 Mark

(a) There are 4 points of contact between the parallel lines & transverse.

(b) In the above figure since the two lines are parallel and cut by a transversal, using the property of corresponding angles:

=> 2x - 60${}^{\circ }$ = x

=> x - 60${}^{\circ }$ = 0

=> x = 60${}^{\circ }$