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Find the values of x and y in parallelogram

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\(\because\) Diagonals are bisect each other in parallelogram

\(\therefore\) OA = OC and OB = OD

= x + 8 = 16 - x and 2y + 13 = 5y + 4

= 2x = 16 - 8 and 2y - 5y = 4 - 13

= 2x = 8 and -3y = -9

= x = \(\cfrac82\) = 4 and y = \(\cfrac{-9}{-3}\) = 3

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