Question

ABCD is a parallelogram and line segments ax,cy bisect angles a and c , respectively. Show that AX II CY

Answer 1

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Answer 2

in a parallelogram,opposite sides are parallel
therefore ax and cy acts as a transversals
so dxa angle =xay angle     (alternate interior angle)
IIIly,angle dcy=angle cyb    (,,)

since angle dxa=angle dcy       (corresponding angles)
therefore axIIcy   hence proved 
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