in the diagram,AB=AC and angle ABC=34

To help me visualize the diagram better, could you please provide me with more information? For instance, is it a triangle, or are there other elements in the diagram?

∠ABC=34°.

Since AB=AC, ∠ABC=∠ACB=34°.

Since the sum of angles of a triangle equals 180, we have
∠BAC=180-34-34=112°.