Consider the following two triangles as shown in the figure below

According to angle sum property : $$\angle$$ C = $$50^\circ$$ and $$\angle$$ N = $$80^\circ$$

Now, in $$\triangle$$ ABC and $$\triangle$$  MNP, 

$$\angle$$ A = $$\angle$$ N = $$80^\circ$$

The remaining 2 angles are equal to $$50^\circ$$, thus either $$\angle$$ B = $$\angle$$ P or $$\angle$$ B = $$\angle$$ M

But $$\angle$$ A is corresponding to $$\angle$$ N.

Thus, $$\triangle BAC \sim\triangle MNP$$

=> Ans - (B)