photo dekh kr solve kro
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in the given figure, ABCD is a cyclic quadrilateral .
/_DAB = /_BED (opposite angle of cyclic quadrilateral are supplementary). . . . . . . . . . . . . .(1)
BCFE is also a cyclic quadrilateral.
Therefore, /_BCF = /_ B E F (opposite angle of cyclic quadrilateral are supplementary). . . . . . . . . . .(2)
when we add these angles.
/_DAB + /_BED + /_BCF + /_BEF = 360° . . . . . . .(3)
/_BED + /_BEF = 180°
or, /_DAB + /_BCF = 180°
but they are co-interior angles and if co-interior angles are sum up to 180° they are parallel.
so, AD parallel to CF .
Hence, proved.
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