The two lines are parallel and are cut by a transversal- Find the value of x- 34- nbsp-57- nbsp-74- nbsp-17- nbsp-

You visited us 4 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Angles in a Transversal

The two lines...

Question

The two lines are parallel and are cut by a transversal. Find the value of x.

17°

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

34°

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

57°

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

74°

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

Open in App

Solution

The correct option is A 17°
Since the lines are parallel, they form alternate interior angles.
Then, (4x-10)° = 58° (alternate interior angles are equal )
$\Rightarrow$ 4x = 68°
$\Rightarrow$ x = 17°

Hence the value of x is 17°.

Suggest Corrections

Similar questions

Q. Find the value of

∠

1 if the two parallel lines are cut by a transversal.

Q. The two lines are parallel and are cut by a transversal. Find the value of x.

Assume line m and line n are parallel lines cut by the transversal line l. Find the value of x.

Assume line "m" and line "n" are parallel lines that are cut by the transversal line "l." Find the value of "x."

(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]

Join BYJU'S Learning Program

The two lines are parallel and are cut by a transversal. Find the value of x.

The correct option is A 17° Since the lines are parallel, they form alternate interior angles. Then, (4x-10)° = 58° (alternate interior angles are equal ) ⇒ 4x = 68° ⇒ x = 17° Hence the value of x is 17°.

The correct option is A 17°
Since the lines are parallel, they form alternate interior angles.
Then, (4x-10)° = 58° (alternate interior angles are equal )
$\Rightarrow$ 4x = 68°
$\Rightarrow$ x = 17°

Hence the value of x is 17°.