In a triangle
let
and
be the intersections of the bisectors of
and
with the sides
respectively. Determine the angles
if
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In a triangle $ABC,$ let $D$ and $E$ be the intersections of the bisectors of $\angle ABC$ and $\angle ACB$ with the sides $AC,AB,$ respectively. Determine the angles $\angle A,\angle B, \angle C$ if $\angle BDE = 24 ^{\circ},$ $\angle CED = 18 ^{\circ}.$