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The notation $m\angle BDC$ refers to the measure of the angle in $\triangle BDC$ at vertex $D.$
Recall that congruent angles have the same number of arcs. We see in the diagram that $\angle{BDC}$ is congruent to $\angle AED,$ whose measure is $33^\circ.$ If two angles are congruent, then they have the same measure. Therefore, $m\angle BDC$ $=$ $33^\circ.$