Asked by ssds
. 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
46.5 degrees
53.5 degrees
56 degrees
112 degrees
Answers
Answered by
GPT 3.5
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.
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.