Question

find the value of x and y in the parallelogram below. 144 - 10x + 10 90 - 2y - 6 answer attempt 1 out of 2 x = y =

Explanation:

Step1: Use the property of parallelogram (opposite sides are equal) for \(x\)

In a parallelogram, opposite sides are equal. So, \(-10x + 10=90\).
Subtract \(10\) from both sides: \(-10x=90 - 10\), which simplifies to \(-10x=80\).
Divide both sides by \(-10\): \(x=\frac{80}{-10}=- 8\).

Step2: Use the property of parallelogram (opposite sides are equal) for \(y\)

Also, \(-2y-6 = 144\).
Add \(6\) to both sides: \(-2y=144 + 6\), so \(-2y=150\).
Divide both sides by \(-2\): \(y=\frac{150}{-2}=-75\).

Answer:

\(x=-8\), \(y = - 75\)