Question

7. In the adjoining figure ABCD is a parallelogram, Find the value of x & y.

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Answer 1

Answer:

x = 3 and y = 2

Step-by-step explanation:

We know that,

In a parallelogram, the diagonal bisects(divides into 2) each other.(Properties of a Parallelogram)

Which means that, if O be the point where both diagonals intersect(meet), AO = OC and BO = OD

Thus,

AO = OC

5y + 1 = 6y - 1

1 = 6y - 5y - 1

6y - 5y = 1 + 1

y = 2

Also,

BO = OD

3x - 1 = 2(x + 1)

3x - 1 = 2x + 2

3x - 2x = 2 + 1

x = 3

Hence, x = 3 and y = 2

Hope it helped and you understood it........All the best