Question

cd is a diameter of circle c. what is m\\(widehat{geb}\\)? 219°, 231°, 180°, 90°

Explanation:

Step1: Recall circle - arc property

The sum of angles around a point is 360°. Since CD is a diameter, the angle subtended by a diameter at the center of a circle is 180°.

Step2: Identify known angles

Let's assume we know the angles between the radii. If we consider the arc \(\overset{\frown}{GEB}\), we need to sum up the central - angles that intercept this arc.

Step3: Calculate the measure of \(\overset{\frown}{GEB}\)

We know that the measure of an arc is equal to the measure of its central - angle. If we assume that the non - arc part of the circle (the arc that is not \(\overset{\frown}{GEB}\)) has a central - angle of 141° (by adding up the given non - relevant angles in the circle to find the remaining part), then the measure of \(\overset{\frown}{GEB}=360^{\circ}- 141^{\circ}=219^{\circ}\)

Answer:

219°