Question

In the given figure, find the value of x and y.​

Answer 1

Answer:

x = 135° as they are vertically opposite to each other.

The sum of interior angles on the same side of the transversal is always 180°

y + 135° = 180°

y = 180° - 135°

y = 45°

Hence, x = 135°

y = 45°

Hope it helps

Answer 2

Answer:

Name above line be PB and lower line be QD and the intersecting point of line PB and transversal be O.

x=135° (vertically opposite angles)

let the angle on line PB i.e. angle BOR be a.

so x+a=180°(linear pair)

135°+a=180°

a=180°-135°

a=45°

angle y = angle a = 45°

Step-by-step explanation:

You can find another angle which is alternate interior angle of y in order to find the value of y.

Or

y+135°=180° (Adjacent angles on a transversal has a sum of 180°.)

y=180°-135°

y=45°