Question

find the value of x and y in the parallelogram below. 52 26 6y - 8 -x + 2

Explanation:

Step1: Use the property of opposite sides of a parallelogram

In a parallelogram, opposite sides are equal.
So, we have two equations:

1. \(-x + 2=26\)
2. \(6y-8 = 52\)

Step2: Solve the first equation for \(x\)

For \(-x + 2=26\), subtract \(2\) from both sides:
\(-x=26 - 2\)
\(-x=24\)
Multiply both sides by \(- 1\):
\(x=-24\)

Step3: Solve the second equation for \(y\)

For \(6y-8 = 52\), add \(8\) to both sides:
\(6y=52 + 8\)
\(6y=60\)
Divide both sides by \(6\):
\(y = 10\)

Answer:

\(x=-24\) and \(y = 10\)