Question

In each of the following figures, find x, y and z, if m | | n.​

Answer 1

Answer:

y+z=180° {angles at the same side of transversal are supplementary}

z=2y+15 {vertically opposite angles}

y + 2y+15=180

3y+15=180

y+5=60

y=60-5

y=55°

55+z=180

z=180-55

z=125°

x+y=180° {linear pair of angles}

x+55=180

x=125°

Answer 2

Answer:

In the given figure you should use the property which is vertically opposite angle and by that property you can make z=2y+15 and z is also equal to x by alternate interior angle property too.

and y +x =180 degree because the angle us formed in the straight line .

so by this you can solve the equation and whatever the value you will get put it in the place of X and Y .

hope this will help you