Question

question 7 of 10
what is the measure of \\(\angle abc\\)?
a. \\(92^{\circ}\\)
b. \\(88^{\circ}\\)
c. \\(176^{\circ}\\)
d. \\(44^{\circ}\\)

Explanation:

Step1: Recall inscribed angle theorem

The measure of an inscribed angle is half the measure of its intercepted arc.

Step2: Identify intercepted arc

$\angle ABC$ intercepts arc $AC$, which has a measure of $88^\circ$.

Step3: Calculate $\angle ABC$

$\angle ABC = \frac{1}{2} \times \text{measure of arc } AC$
$\angle ABC = \frac{1}{2} \times 88^\circ$

Answer:

D. $44^\circ$