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 $\angle CED?$