Question

FOR WHAT VALUES OF X WILL THE LINES L AND M BE PARALLEL TO EACH OTHER..

Answer 1

Hello!

Lines are parallel,
when corresponding angles are Equal.

Then,

3x - 5 = 4x

⇒ 3x - 4x = 5

⇒ - x = 5 ⇒ $\boxed{\sf x = \sf - 5}$

Hence, For x = - 5

The following pair of line will be $\boxed{\sf PARALLEL}$

Cheers!

Answer 2

HEY THERE ..!!

HERE IS YOURS ANSWER;

◆ We need to find the value of x for which the lines L & m are parallel.

So,

∠ (3x -5)° = ∠ (4x)° 【Corresponding angles】

=> 3x - 5 = 4x

=> 4x - 3x = -5

=> x = -5

★So, the lines must be parallel when x = -5★

◆ Verification ◆* [Optional]

● putting x = -5 in (3x-5)°

=> 3(-5) -5

= -15 -5

= -20 -------(1)

● Putting x = -5 in (4x)°

=> 4(-5)

= -20 -----(2)

◆ HENCE both the angles are coming same. So, the lines must be parallel to each other which means corresponding angles must be same. ◆

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HOPE IT HELPS