Question

In the given figure p || q and a || b. Find the measure of the angles x, y, z and r

Answer 1

Given that p//q and a//b

Therefore  x + y = 180 and z + r = 180 and x + r =180 and y + z = 180

Because the theorem states that if a line intersects two parallel lines then the angles on one side of the line are supplementary

And x,y,z,and r are angles of a parallelogram

Therefore x=z and y=r

now x= 65,    Vertically opposite angles

therefore from above equations y = 180 - 65 = 115

and r = y = 115

and z = x = 65

Therefore the angles are x = 65,  y = 115,  z = 65,  r = 115

I hope this helped, Please mark my answer as the brainliest!