Question

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

Answer 1

Answer:

C. x = 5, y = 7

Step-by-step 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:

$5 + 2 = y$

$7 = y$

$y = 7$