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Answer will be 20 degrees.
Steps :-
PR || RS and XY is its transversal.
angle XEF = angle XGH (corresponding angles)
angle XGH = 80 degrees.
Now, angle XGH + angle YGH = 180 degrees (linear pair)
angle YGH = 100 degrees.
angle SHY + angle GHY = 180 (linear pair)
angle GHY = 60 degrees
Now, in triangle YGH
a = 180 - ( 100 + 60 ) degrees (angle sum property of triangle)
a = 20 degrees ans.
Steps :-
PR || RS and XY is its transversal.
angle XEF = angle XGH (corresponding angles)
angle XGH = 80 degrees.
Now, angle XGH + angle YGH = 180 degrees (linear pair)
angle YGH = 100 degrees.
angle SHY + angle GHY = 180 (linear pair)
angle GHY = 60 degrees
Now, in triangle YGH
a = 180 - ( 100 + 60 ) degrees (angle sum property of triangle)
a = 20 degrees ans.
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