in the diagram of circle o, what is the measure of ∠abc? 34° 45° 68° 73°

Explanation:

Step1: Recall the 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 (\angle ABC) is arc (AC) and the measure of arc (AC = 146^{\circ}).

Step3: Calculate the measure of (\angle ABC)

(\angle ABC=\frac{1}{2}\text{ measure of arc }AC). So (\angle ABC=\frac{146^{\circ}}{2} = 73^{\circ}).

Answer:

(73^{\circ})