Question

the two circles have a common center, point a. identify the expressions that are equivalent to m∠dab. select all the correct answers. 2m∠cfe m(overparen{cf}) m(overparen{db}) m(overparen{ce}) m∠cae m∠cfe

Explanation:

Step1: Recall central - angle and arc - measure relationship

The measure of a central angle is equal to the measure of its intercepted arc. $\angle DAB$ is a central angle with intercepted arc $\overset{\frown}{DB}$, so $m\angle DAB=m\overset{\frown}{DB}$.

Step2: Analyze other angle - arc relationships

$\angle CAE$ and $\angle DAB$ are vertical angles. Vertical angles are equal, so $m\angle DAB = m\angle CAE$.

Answer:

$m\overset{\frown}{DB}$, $m\angle CAE$