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\[\angle I={{95}^{o}}\] and \[\angle k={{65}^{o}},\] 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