Question

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

Explanation:

Step1: Recall arc - central angle relationship

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

Step2: Find the measure of ∠DOB

Since ∠DOB=∠DOC + ∠COB, and ∠DOC = 44° and ∠COB = 80°.
So, ∠DOB=44°+80°
∠DOB = 124°

Step3: Determine the measure of arc DB

The measure of arc DB is equal to the measure of ∠DOB. So, m\(\overset{\frown}{DB}\)=124°

Answer:

124