Question

question
find the value of x and y in the parallelogram below.
answer
x =
y =

Explanation:

Step1: Use the property of opposite sides of a parallelogram

In a parallelogram, opposite sides are equal.
So, \(92=y - 2\) and \(54=-8x+6\).

Step2: Solve for \(y\)

From \(92=y - 2\), add \(2\) to both sides:
\(y=92 + 2\)
\(y = 94\).

Step3: Solve for \(x\)

From \(54=-8x+6\), first subtract \(6\) from both sides:
\(54-6=-8x\)
\(48=-8x\).
Then divide both sides by \(-8\):
\(x=\frac{48}{-8}\)
\(x=-6\).

Answer:

\(x=-6\), \(y = 94\)