What is the point of E?

Geometry Level 3

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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