Circle B is shown. Line segments C B, D B, and E B are radii. Angle C B E is 52 degrees and angle E B D is 160 degrees. What is the measure of Arc C E D? 106° 108° 148° 212°
![Circle B is shown Line segments C B D B and E B are radii Angle C B E is 52 degrees and angle E B D is 160 degrees What is the measure of Arc C E D 106 108 148 class=](https://us-static.z-dn.net/files/d33/8f439f8b13a813e32f2ee7e06e28bfa2.png)
The measure of arc CED in the circle given is: D. 212°.
Measurement of an arc of a circle = measure of its central angle.
Thus:
Measure of arc CED = angle CBE + angle EBD
Substitute
Measure of arc CED = 52 + 160
Measure of arc CED = 212°
Therefore, the measure of arc CED in the circle given is: D. 212°.
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