Question

determining arc and angle measures use the diagram to complete the statements. the measure of minor arc ef is the measure of angle dab is 35.5 54.5 71 109

Explanation:

Step1: Recall central - arc relationship

The measure of a minor arc is equal to the measure of its central angle. If the central angle of arc EF is 109°, then the measure of minor arc EF is 109°.

Step2: Recall inscribed - central angle relationship

The measure of an inscribed angle is half the measure of its intercepted arc. Angle DAB is an inscribed angle and the arc it intercepts is arc DB. The central angle of arc DB is 71° (since the central angle of arc DF is 109° and the sum of central angles in a circle is 360°, assume the other central - angle related to arc DB is 71°). So the measure of angle DAB is $\frac{71}{2}=35.5$°.

Answer:

The measure of minor arc EF is 109°.
The measure of angle DAB is 35.5°.