If in a triangle ABC as drawn in the figure, AB = BC and ∠ACD = 130o,…

Concept Used

Linear Pair theorem

Angle sum property = Sum of all the angles of the triangle is 130^o

Calculation

In triangle ABC,

∠ACD + ∠ACB = 180^o        (Linear pair)

∠ACB = 180 - 130 = 50^o

Since AB = BC,

Triangle ABC is an isosceles triangle.

∠ACB = ∠BAC = 50^o

Therefore,∠BAC is 50^o.