In triangle \( \triangle ABC \), \( \overline{AB} \| \overline{CD} \) and \( \angle ABC = 50^\circ \). If point \( E \) is on \( \overline{AB} \) such that \( \angle CEB = 130^\circ \) and \( \overline{CE} \) intersects \( \overline{AB} \) at \( E \), what is the measure of \( \angle AEC \)? Let's think step by step and output the final answer within \boxed{}.
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