Question

question 2 of 10 what is the measure of ∠abc?

Explanation:

Step1: Recall inscribed - angle theorem

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

Step2: Identify the intercepted arc

The intercepted arc of \(\angle ABC\) is arc \(AC\) which has a measure of \(74^{\circ}\).

Step3: Calculate the measure of \(\angle ABC\)

By the inscribed - angle theorem, \(m\angle ABC=\frac{1}{2}\times m\overset{\frown}{AC}\). So \(m\angle ABC = \frac{1}{2}\times74^{\circ}=37^{\circ}\).

Answer:

B. \(37^{\circ}\)