# Could it get any more regular?

Geometry Level 3

$$\Delta ABC$$ is inscribed in a circle such that $$864 \angle A = \angle B = \angle C$$. If $$B$$ and $$C$$ are adjacent vertices of a regular $$n$$-gon inscribed in the circle, find $$n$$.

Details and Assumptions

• The diagram above is (extremely) not to scale.
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