Question

in figure P || Q the value of x is
a}35°
b}55°
c}70°
d}110°​

Answer 1

Answer:

2x+ 70°= 180°

2x= 180- 70°= 110°

Then, 2x= 110°

and x= 55°

PLEASE MARK AS BRAINLIEST.

IT TOOK A LOT OF TYM TO WRITE SOLUTION FOR YOU.

Answer 2

The value of x is 55°.

Option (b) is correct.

Given: Figure

To find:Value of x, if P || Q.

Solution:

We know that if two lines are parallel and a transversal intersect these lines then four pairs of equal corresponding angles are formed.

Step 1:

Identify corresponding angle pair.

From the attachment it is clear that

$\angle \: 1 = \angle \:3$

[Corresponding angles]

Thus,

$\angle \: 1 = {70}^{ \circ}$

Step 2:

Apply property of linear pair.

We know that all angles formed on a straight line adds to 180°.

Thus,

$\angle \: 2 + \angle \: 1 = {180}^{ \circ}$

[linear pair]

$2x + 70 = 180$

or

$2x = 180 - 70$

or

$2x = 110$

or

$x = \frac{110}{2}$

or

$\bf x = {55}^{ \circ}$

Thus,

Value of x is 55°, if P||Q in the attached figure.

Option (b) is correct.

Learn more:

1) In the given figure, AB||CD and BC||ED. Find the value of x.

https://brainly.in/question/5346853

2) In the figures given below AB||CD. EF is the transversal intersecting AB and CD at G and H respectively. Find the values...

https://brainly.in/question/4729163