Answer:
3rd Option is correct.
Step-by-step explanation:
Given a circle with center O.
∠AOB = 67°
In Δ AOB
AO = BO (radius of same circle)
⇒ ∠OAB = ∠OBA (angles opposite to equal sides are equal)
In ΔAOB
∠OAB + ∠OBA + ∠AOB = 180° (Angle sum property of triangle)
2∠OAB + 67 = 180
2∠OAB = 180 - 67
2∠OAB = 113
∠OAB = 56.5°
So, ∠BAC = 56.5°
Therefore, 3rd Option is correct.
