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Use angle bisector theorem and then apply cosine law.
জ্যামিতি রহস্য
In triangle $ABC$, the angular bisector from $A$ intersects the side $BC$ at the point $D$, and the angular bisector from $B$ intersects the side $AC$ at the point $E$. Furthermore $|AE| + |BD| = |AB|$. What is the value of the $\angle C$ ?
Geometry
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