Circle O is shown below.
62°
What is the measure of angle BAC?
A. 56.5
B. 59
C. 52.8
D. 57.3
To find the measure of angle BAC, we first need to find the measure of the central angle that intercepts arc BC. We know that the arc BC is 62°, so the measure of the central angle is also 62°.
Next, we use the fact that the measure of an inscribed angle is half the measure of its intercepted arc. In this case, angle BAC is an inscribed angle that intercepts arc BC. Since the measure of arc BC is 62°, the measure of angle BAC is half of 62°.
Therefore, the measure of angle BAC is (62°)/2 = 31°.
None of the answer choices match this calculation, so the correct answer is not provided.