Let's take a look at the diagram. We are asked to find the measure of an arc AB.
First, we will find the measure of the arc BC. According to the Inscribed Angle Theorem, the measure of an inscribed angle is half the measure of its intercepted arc. This means that, in this case, 48^(∘) is half of the measure of arc BC.
48=1/2(BC) ⇔ BC = 96
Therefore, the measure of BC=96^(∘).
Since the measure of a full turn around a circle is 360^(∘), we can use the Arc Addition Postulate to find the measure of AB.
