Question 11
(JAP 2) 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
$$\angle BDE=24^\circ,\qquad\angle CED=18^\circ.$$
$$\angle BDE=24^\circ,\qquad\angle CED=18^\circ.$$