Question

if AB II EF, DE II BC, AC II DF, find x and y.

Answer 1

GIVEN AB //DF AND DE is transversal
y =180-110= 70( co interior angles)
AB||EF AND AC IS TRANSVERSAL
X= 180-70=110 ( co interior angles)

Answer 2

Let, Point P be the intersection of AB and DE.

=> ∠APD = 110 degrees Vertically Opposite angles

=> ∠DMB = ∠AME = 70 Degrees

Let, Q be the intersection of AB and DF

In Triangle DPQ,

∠DQP = 180 Degrees - 60 Degrees - 70 Degrees

∠DQP = 50 degrees

=> DFE = 50 Degrees (Interior angles as AB parallel to EF

Similarly you can compute remaining angles.

You will get

x = 120 degrees and y = 120 degrees