What is the point of E?

Geometry Level 2

Circles Γ1\Gamma_1 and Γ2\Gamma_2 intersect at 2 distinct points AA and BB. A line ll through AA intersects Γ1\Gamma_1 and Γ2\Gamma_2 at points CC and D,D, respectively, such that CC is not in Γ2\Gamma_2 and DD is not in Γ1\Gamma_1. Point EE is the intersection of the tangent to Γ1\Gamma_1 at CC and the tangent to Γ2\Gamma_2 at DD.

If CBD=71,\angle CBD = 71^\circ, what is the measure (in degrees) of CED? \angle CED?

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