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

60^o

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

50⁰

No worries! We‘ve got your back. Try BYJU‘S free classes today!

40⁰

No worries! We‘ve got your back. Try BYJU‘S free classes today!

90⁰

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
60^o

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

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

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

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

Suggest Corrections

Similar questions

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.

The following diagram shows parallel lines cut by a transversal. Which of the following statements is true?

(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]

Q. In case of two parallel lines being cut by a transversal, which of the following statements would be wrong?

Join BYJU'S Learning Program

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

The correct option is A 60o In the above figure, since, the two lines are parallel and cut by a transversal, using the property of corresponding angles: ⇒2x−60∘=x ⇒x−60∘=0 ⇒x=60∘

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

The correct option is A
60^o

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

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

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

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