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Moderate

Angles and Regular Polygons

ACTMAT-YJFJVE

In the figure below, regular hexagon ABCDEF and regular octagon GHJKLMNC share point C. If sides $ {\overline { ED } } $ and $ {\overline { NM } } $are collinear, what is the measure of $ {\angle }DCN $?

Note: points B, C, and N are not collinear.

A

$45°$

B

$60°$

C

$75°$

D

$105°$

E

$120°$