Question
In the adjoining figure, ABCD is a rhombus whose diagonals intersect at O .
If $\angle OAB : \angle OBA =2: 3$, find the angles of $\triangle OAB$.
Image

Answer

$\angle AOB =90^{\circ}, \angle OAB =36^{\circ}, \angle OBA =54^{\circ}$

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