Question

in the figure,AB ll CD and AE ll CF,angle FCG=90 degrees and angle BAC =120 degrees.find the values of x,y,z

Answer 1

x= 60 corresponding angles
90°-x=y=30°
z= 150° corresponding angles

Answer 2

since ab parallel to cd,

120 + x = 180 (Angles on the same side of the transversal)

x = 180-120

  = 60.

we know that,

x + y + 90 = 180 (angle in a straight line)

60 + y + 90 = 180

y = 180-150

y = 30.

y = z = 30 (corresponding angles)

Therefore, x = 60, y = 30 and z = 30.

HOPE THIS HELPS !!