Question

if m∠doc = 44° and m∠cob = 80°, find the measure of the indicated arc in circle o. mcb⏜ = ?°

Explanation:

Step1: Recall central - angle and arc - measure relationship

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

Step2: Identify the central angle for arc $\overset{\frown}{CB}$

The central angle for arc $\overset{\frown}{CB}$ is $\angle COB$.

Step3: Determine the measure of the arc

Since $m\angle COB = 80^{\circ}$, then $m\overset{\frown}{CB}=80^{\circ}$.

Answer:

$80$