Question

In Figure 2, find the values of x and y and then show that AB ∥ CD​

Answer 1

Answer:

x= 130 y = 130

Step-by-step explanation:

x =y

y = 130...vertically opposite angles

so x is also 130 alternative interior angles

Answer 2

Given:

The measurement of the angles are 50° and 130°

To find:

The value of the x and y

To prove:

AB ∥ CD​

Solution:

From the figure:

• x+50° = 180° [Linear pair]
• x = 180°-50°
• x = 130°

and

• y = 130° [ vertically opposite angle]

The value of x and y is 130° and 130° respectively

As we have found the value of x and y and we can see that the value of x and y are equal to each other

and from the figure, we can see that the and x and y is the alternate interior angle for the lines AB and CD

So the lines AB and CD must be Parallel to each other

Hence Proved