question_answer

In the given figure, \[\angle \mathbf{A}=\mathbf{80}{}^\circ ,\text{ }\angle \mathbf{B}=\mathbf{60}{}^\circ ,\text{ }\angle \mathbf{C}=\mathbf{2X}{}^\circ \] and \[\angle \mathbf{BDC}=\mathbf{Y}{}^\circ \], BD and CD are bisectors of ZB and ZC respectively. Find the value of X and Y.

A) \[X=10{}^\circ \]and \[Y=160{}^\circ \]           

B) \[X=15{}^\circ \]and \[Y=70{}^\circ \]

C) \[X=20{}^\circ \]and\[Y=130{}^\circ \]

D) \[X=20{}^\circ \]and \[Y=125{}^\circ \]

E) None of these