# What is the point of E?

Geometry Level 2

Circles $$\Gamma_1$$ and $$\Gamma_2$$ intersect at 2 distinct points $$A$$ and $$B$$. A line $$l$$ through $$A$$ intersects $$\Gamma_1$$ and $$\Gamma_2$$ at points $$C$$ and $$D$$ respectively, such that $$C$$ is not in $$\Gamma_2$$ and $$D$$ is not in $$\Gamma_1$$. Point $$E$$ is the intersection of the tangent to $$\Gamma_1$$ at $$C$$ and the tangent to $$\Gamma_2$$ at $$D$$. If $$\angle CBD = 71^\circ$$, what is the measure (in degrees) of $$\angle CED$$?

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