Question

find the value of x and y in the parallelogram below. answer attempt 1 out of 2 x = y =

Explanation:

Step1: Use opposite - sides equality

In a parallelogram, opposite sides are equal. So, we set up two equations based on the equality of opposite sides.
The pair of opposite - sides gives us:
$8x + 7=71$ and $-y + 3=170$

Step2: Solve the equation for \(x\)

For the equation $8x+7 = 71$, first subtract 7 from both sides:
$8x=71 - 7$
$8x=64$
Then divide both sides by 8:
$x=\frac{64}{8}=8$

Step3: Solve the equation for \(y\)

For the equation $-y + 3=170$, first subtract 3 from both sides:
$-y=170 - 3$
$-y=167$
Multiply both sides by - 1 to solve for \(y\):
$y=-167$

Answer:

$x = 8$, $y=-167$