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Deducing Properties of Parallelogram

Diagonals of ...

Question

Diagonals of a rectangle ABCD intersect at point O. If AC = 8 cm then find BO and if $∠$ CAD = $35^{°}$ then find $∠$ ACB

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Solution

Diagonals of a rectangle are congruent.
So, AC = BD = 8 cm
Also, rectangle is a parallelogram so, the diagonals bisect each other.
Thus, BO = OD = 4 cm
Now, AD || CB
So, $∠$ CAD = $∠$ ACB = $35^{°}$ (Since, alternate interior angles are equal)

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