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ABCD us a rectangle. Find the values of x and y in each case.

figure is like this

AB is base and angle A is 35 degree

DC is opposite site

AC and BD is diagonal and intersent on O in mid pint and DOC is formed Y degree and BOC is formed X degree

As diagonals of a rectangle bisect each other and are equal,

∴AO = BO

⇒∠OAB = ∠OBA = 35^{0}

In ΔOAB,

∠OAB + ∠OBA + *y* = 180^{0}

⇒ 35^{0} + 35^{0} + *y* = 180^{0}

∴*y* = **110** ^{0}

*x + y* = 180^{0}

∴*x* = 180^{0 }- *y* = **70** ^{0}

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