Find x,y and z from the given figure, if AB ǁ CD.
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AB||CD, EH is a transversal.
angle EFD=angle FGB(corresponding angles)
75°=x+22°
75°-22°=x
53°=x
angle EFD= angle CFG(vertical opposite angles)
75°=y
angle CFG+angle GFK+angle KFD=180°(straight angle)
75°+angle GFK+28°=180°
angle GFK=180°-103°
angle GFK=77°
in triangle FGK,
angle FGK+angle GKF+angle GFK=180°(angle sum property)
53°+z°+77°=180°
z=180°-130°
z=50°
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