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Rhombus.

The diagonals...

Question

The diagonals AC and BD of a rhombus ABCD intersect at point O. Find m∠AOD and m∠BOC.

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Solution

In rhombus ABCD,
AC and BD intersect at point O .
m $∠$ AOD = m $∠$ BOC = 90° (Diagonals of a rhombus are perpendicular bisectors of each other)
∴ m $∠$ AOC = m $∠$ BOC = 90°

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