Question

11. In the given figure, AB | CD and I is a transversal. The value of x is To B (x + 120) Pix+ А (a) 20° I (b) 30° (c) 45° fe AR and CD are two parallel lines and a transversal XY intersects them (d) 60°. ​

Answer 1

Answer:

Option (b)

Step-by-step explanation:

Given :-

In the given figure, AB || CD and I is a transversal.

To find :-

Find the value of x ?

Solution :-

Given that

AB || CD and I is a transversal.

We know that

Vertically opposite angles are equal.

The vertically opposite angle of x°= x°

Now,

Given another angle = (x+120)°

x° and (x+120°) are interior angles on the same side to the transversal l

We know that

interior angles on the same side to the transversal are supplementary.

=> x°+(x+120)° = 180°

=> x°+x°+120° = 180°

=> 2x°+120° = 180°

=> 2x° = 180°-120°

=> 2x° = 60°

=> x° = 60°/2

=> x° = 30°

Therefore, x= 30°

Answer:-

The value of x for the given problem is 30°

Used formulae:-

If two parallel lines Intersected by a transversal then

→ Vertically opposite angles are equal.

→ Interior angles on the same side to the transversal are supplementary.