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 \( \angle CED?\)
by
Calvin Lin