Question

Find x,y and z from the given figure, if AB ǁ CD.



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Answer 1

Answer:

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°