Question

question 9 of 10 what is the measure of ∠abc?

Explanation:

Step1: Recall the angle - arc relationship

The measure of an inscribed - angle is half the measure of its intercepted arc. The measure of the non - intercepted arc of $\angle ABC$ is the sum of the two given arcs.

Step2: Calculate the sum of the non - intercepted arcs

The two given arcs are $82^{\circ}$ and $44^{\circ}$. The sum of these arcs is $82 + 44=126^{\circ}$.

Step3: Determine the measure of $\angle ABC$

The measure of $\angle ABC$ is equal to the measure of the non - intercepted arc (since the angle is formed by two chords and the non - intercepted arc is the one that is not between the two chords). So, $m\angle ABC = 126^{\circ}$.

Answer:

A. $126^{\circ}$