To find the measure of angle BAC, we need to use the property that the measure of an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc.
In this case, angle BAC is inscribed in circle O and the central angle is angle BOC. Since angle BOC is 112 degrees (as given in the diagram), angle BAC will be half of that:
Angle BAC = 112 degrees / 2 = 56 degrees
Therefore, the measure of angle BAC is 56 degrees. The correct answer is 56 degrees.
. Circle O is shown below. The diagram is not to scale. What is the measure of angle BAC?
46.5 degrees
53.5 degrees
56 degrees
112 degrees
1 answer
1 answer