Math, asked by vishnu5423, 4 months ago

photo dekh kr solve kro​

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Answered by SilivaDas
1

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Answered by mintasharma85
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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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