question_answer

Two circles intersect at M and N. IMNK and MNLJ are the quadrilaterals inscribed in the two circles as shown in the figure given below. If \[\angle I=95{}^\circ ,\] and \[\angle K=65{}^\circ ,\] then the values of x and y are respectively:

A)  \[65{}^\circ \,\,and\,\,135{}^\circ \]     

B)  \[85{}^\circ \,\,and\,\,115{}^\circ \]

C)  \[55{}^\circ \,\,and\,\,145{}^\circ \]     

D)  \[75{}^\circ \,\,and\,\,125{}^\circ \]

E)  None of these