Question

find the value of x in parallelogram stuv.

Explanation:

Step1: Use property of parallelogram

In a parallelogram, opposite - sides are equal. So, \(x + 13=8x - 8\).

Step2: Rearrange the equation

Subtract \(x\) from both sides: \(13 = 8x-x - 8\), which simplifies to \(13 = 7x-8\).

Step3: Solve for \(x\)

Add 8 to both sides: \(13 + 8=7x\), so \(21 = 7x\). Then divide both sides by 7: \(x=\frac{21}{7}=3\).

Answer:

3