If ∠CEF is complementary to ∠DCF, then ∠DCF ≅ ∠FEG.
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The following are the general steps to draw a hexagon inscribed in a circle:
First draw a circle with center A through B:
Then the intersection points will be vertex C and vertex D of the hexagon. Doing this for each vertex (from left to right) we will get the following:
