Question

What is the measure of angle BAC?

Answer 1

113° . i hope this helps

Answer 2

3rd Option is correct.

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.