(a) There are two sets of parallel lines passing through a plane. A transversal cuts the two sets of lines. Find the number of distinct points of intersection.

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

Open in App

Solution

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

(a) There are 4 points of intersection between the parallel lines & transversal.

(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 $^{\circ}$

Suggest Corrections

Similar questions

(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.

The following diagram shows parallel lines cut by a transversal. Find $x .$

Aju: A transversal is a line which intersects two lines at two distinct points.

Shubh: A transversal is a line which intersects two parallel lines at two distinct points.

The following diagram shows parallel lines cut by a transversal. Find $x .$

Q. The following diagram shows parallel lines cut by a transversal.
The value of x is.

Join BYJU'S Learning Program

(a) There are two sets of parallel lines passing through a plane. A transversal cuts the two sets of lines. Find the number of distinct points of intersection. (b) The following diagram shows parallel lines cut by a transversal. Find x. [3 MARKS]

(a) There are two sets of parallel lines passing through a plane. A transversal cuts the two sets of lines. Find the number of distinct points of intersection.

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