Answer:
(D)[tex]96^{\circ}=(arc)BC[/tex]
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
[tex]m{\angle}BAC={\frac{1}{2}}(arc)BC[/tex]
Substituting the given values, we get
[tex]48^{\circ}=\frac{1}{2}(arc)BC[/tex]
[tex]96^{\circ}=(arc)BC[/tex]
Thus, the measure of the arc BC is 96 degrees.
Hence, option D is correct.
