Question

if ( mangle doc = 44^{circ} ) and ( mangle cob = 80^{circ} ), find the measure of the indicated arc in circle o.

( moverparen{dc}=?^{circ} )

Explanation:

Step1: Recall the central angle - arc relationship

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

Step2: Identify the central angle for arc \(DC\)

The central angle for arc \(DC\) is \(\angle DOC\).

Step3: Substitute the given value

Given \(m\angle DOC = 44^{\circ}\), so \(m\overset{\frown}{DC}=m\angle DOC\)

Answer:

\(44\)