In the figure below, the triangle \(ABD\) is a right-angled triangle, where angle \(BAD=90^{\circ}\) . \(BE\) is the angle bisector of angle \(ABD\) and \(C\) is on line segment \(BD\) . Given that \(BE=CE\) , angle \(BEA=52^{\circ}\) , find the sizes of

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