Question

select the correct answer.
points a, b, and c are located on a circle, and chords exist between all three points. if the measure of ∠bac is 88°, what is the measure of (widehat{bc})?
a. (88^circ)
b. (92^circ)
c. (176^circ)
d. (184^circ)

Explanation:

Step1: Recall inscribed angle theorem

An inscribed angle is half the measure of its intercepted arc.

Step2: Apply the theorem

$\angle BAC$ is an inscribed angle intercepting arc $\overset{\frown}{BC}$. So, $m\overset{\frown}{BC} = 2 \times m\angle BAC$.

Step3: Calculate the arc measure

$m\overset{\frown}{BC} = 2 \times 88^\circ = 176^\circ$

Answer:

C. 176°