Question

In the circle below, if the measure of arc BC = 92 °, find the measure of < BAC.

Answer 1

Step-by-step explanation:

Remember that if an angle is inscribed in a circle, then the measure of the angle equals one-half the measure of its intercepted arc. Thus, if the measure of arc BC = 92 °, the measure of < BAC would be:

`\angle BAC\text{ =}(1)/(2)(BC)=(1)/(2)(92^(\circ))=46^(\circ)`

We can conclude that the correct answer is:

Answer:

`46^(\circ)`