Question

plz answer the question number 65... plz friends... kripa barsaado​

Answer 1

$\textsf{Question}$ :

In the given figure AB // CD and l is the transversal, find the value of x.

$\textsf{Solution}$ :

In the given figure,

The angle (2x + 40)° = angle (x + 90)°

[Because, these are alternate interior angles and we know that alternate angles formed in parallel lines by their transversals are always equal to each other. ]

Therefore,

2x + 40° = x + 90°

=> 2x - x = 90° - 40°

=> x = 50°

$\textsf{Answer}$ :

So, the value of x is 50°
And the angles are
2x + 40°
= 2 × 50 ° + 40°
= 140°

x + 90°
= 50° + 90°
= 140°

Hence, both of the angles are equal, so alternate.