From figure we have , ∠GFH = 80° and ∠HGF = 60° , ∠GFH = 40° and ∠GFE = x°
Now,
In ∆HGF
Since Sum of the angles of a triangle is 180° :
∠GFH + ∠HGF + ∠GFH = 180°
80° + 60° + 40° = 180°
14° + 40° = 180°
54° = 180° ………..(1)
∠GFH + ∠GFE = 180° [Linear pair]
80° + x° = 180°
x° = 180°-80°
x° = 100°
Hence the value of ∠x is 100°
Among the given options option (D) 100° is correct.
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