Question

question 8 of 10 what is the measure of ∠abc? a. 37° b. 53° c. 74° d. 148°

Explanation:

Step1: Recall inscribed - angle theorem

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

Step2: Identify the intercepted arc

The intercepted arc of ∠ABC is arc AC, which has a measure of 74°.

Step3: Calculate the measure of ∠ABC

Let m∠ABC be the measure of the inscribed angle. Using the formula m∠ABC=$\frac{1}{2}$m(arc AC), substituting m(arc AC) = 74°, we get m∠ABC=$\frac{74^{\circ}}{2}=37^{\circ}$.

Answer:

A. 37°