Question

Find x,y,z, if AB||BC
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Answer 1

Step-by-step explanation:

angle EFD= angleFCB (corresponding angles)

angle x=75-22=53°

angle x= angle y (vertically opposite angles )

therefore, y = 53°

Angle EFD = angle F ( vertically opposite angles)

therefore, angle F = 75°

angle F + angle KFY + angle DFK =180° (linear pair of angles)

75° + 28°+ angle KFY = 180°

angle KFY = 77

now, in triangle KFY,

angle(F+X+Z)= 180°

77° + 53°+ Z = 180°

angle Z= 50°