Circle O is shown below.
67°
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 need to remember that an angle inscribed in a circle is half the measure of the intercepted arc.
Since angle 67° intercepts arc ABC, the measure of arc ABC is also 67°. Therefore, angle BAC is half of 67°, which is 33.5°.
None of the answer choices matches this calculation, so there might be a mistake in the question or the diagram. But anyway, the correct measure of angle BAC should be 33.5°.