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 the distinct intersecting points made by the transverse line?

(b) The following diagram shows parallel lines cut by a transversal. Find x. [3 MARKS]

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 line.

(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${}^{\circ }$