Question

question 4 of 10 what is the measure of ∠abc? 118° a c b a. 242° b. 118° c. 62° d. 59°

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, and the measure of arc AC is 118°.

Step3: Calculate the measure of ∠ABC

By the inscribed - angle theorem, m∠ABC=$\frac{1}{2}$m(arc AC). So m∠ABC = $\frac{1}{2}\times118^{\circ}=59^{\circ}$.

Answer:

D. 59°