ABC is a triangle and the sides AB, BC and CA are produced

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ABC is a triangle and the sides AB, BC and CA are produced to E, F and G respectively. If ∠CBE = ∠ACF = 130° then the value of ∠GAB is

1. 100°
2. 130°
3. 80°
4. 90°

Correct Option: A

On the basis of given in question , we draw a figure triangle ABC ,

∠CBE = 130°
∴ ∠ABC = 180° – 130° = 50°
∠ACF = 130°
∴ ∠ACB = 180° – 130° = 50°
∴ ∠BAC = 180° – 50° – 50° = 80°
∴ ∠GAB = 180° – 80° = 100°