In parallelogram

MATHEMATICS · Subjective · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

In parallelogram

ABCD

, the diagonals

AC

and

BD

intersect at

O

. If

AO = 2x + 3\,\text{cm}

OC = x + 9\,\text{cm}

BO = 5y - 2\,\text{cm}

and

OD = 3y + 4\,\text{cm}

, determine the values of

x

and

y