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# Central Angles and Arcs

ACTMAT-YKE1TN

In Circle O below, ${\overline { AD } }$ and ${\overline { BE }}$ are diameters, and ${\overline {OC}}$ is a radius.

If $m{\angle }AOB = 47°$ and $m{\angle }BOC = 78°$, what is the measure of arc DC, in degrees?

A

$43°$

B

$47°$

C

$51°$

D

$55°$

E

$65°$