Angles.

Geometry Level 1

In the figure above, \( \angle ABE\) = \( \angle ECD\) and \( \angle EBD\) = \( \angle ACE\) . If \(\angle BAC = 80 ^ \circ\) and \(\angle BEC = 100 ^ \circ\) then, what is the value of obtuse \(\angle BDC\).

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