Question

What is the measure of (arc) BC? A. 55 B. 110 C. 48 D. 96

Answer 1

Angle BAC is the inscribed angle, therefore it is equal to half the arc AB  ⇒

arc AB = 2*48 = 96°

Answer 2

Answer:

(D)$96^{\circ}=(arc)BC$

Step-by-step explanation:

It is given from the figure that m∠BAC=48° and arcAC=110°.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.

Now, using the above property, we have

$m{\angle}BAC={\frac{1}{2}}(arc)BC$

Substituting the given values, we get

$48^{\circ}=\frac{1}{2}(arc)BC$

$96^{\circ}=(arc)BC$

Thus, the measure of the arc BC is 96 degrees.

Hence, option D is correct.