Question

question 8 of 25 if ∠abc measures 90°, what is the measure of ⌢ac? a. 270° b. 90° c. 180° d. 45°

Explanation:

Step1: Recall arc - central angle relationship

The measure of an arc is equal to the measure of its central angle when the arc is subtended by the central angle.

Step2: Identify the central angle

Here, the central angle for arc $\widehat{AC}$ is $\angle ABC$.

Step3: Determine arc measure

Since $\angle ABC = 90^{\circ}$, the measure of arc $\widehat{AC}$ is also $90^{\circ}$.

Answer:

B. 90°