Question

question 7 of 25. if ∠def measures 70°, what is the measure of ⁀dgf?

Explanation:

Step1: Recall circle - angle relationship

The measure of a full - circle is 360°.

Step2: Identify the given central angle

The central angle ∠DEF = 70°.

Step3: Calculate the measure of arc DGF

The measure of arc DGF is the measure of the major arc. The measure of the major arc is 360° minus the measure of the minor arc intercepted by the central angle. The minor arc intercepted by ∠DEF has a measure equal to the measure of ∠DEF (since the measure of an arc is equal to the measure of its central angle in a circle). So, the measure of arc DGF=360° - 70° = 290°.

Answer:

B. 290°