Question

in the following figures AB||CD. Determine the values of x and y​

Answer 1

Answer:

Given, AB∣∣CD, 

Consider AC is transversal.

z=125o          [∵  Corresponding angles ]

x=180−125o  [ ∵ sum of angles in a straight line=180o ]

x=55o

We know that, sum of all the interior angles in a quadrilateral is 360o

∠A+∠B+∠C+∠D

x+x+z+y=360o

55+55+125+y=360o

⟹y=125o