Question

Look at the figure, PQRS. Find the values of x and y.

A. x=7, y=10
B. x=6, y=8
C. x=5, y=7
D. x=6, y=9

Answer 1

C. x = 5, y = 7

Explanation:

Diagonals of a parallelogram bisects each other. Therefore:

`2x = y + 3`, and,

`x + 2 = y`

✔️To find the value of x, substitute y = (x + 2) in
`2x = y + 3`.

Thus:

`2x = (x + 2) + 3`

`2x = x + 2 + 3`

`2x = x + 5`

Subtract x from each side

`2x - x = 5`

`x = 5`

✔️To find y, substitute x = 5 in
`x + 2 = y`.

Thus:

`5 + 2 = y`

`7 = y`

`y = 7`