Question

what value of x will make parallelogram abcd a rhombus? x =

Explanation:

Step1: Recall the property of a rhombus

In a rhombus, the diagonals are perpendicular to each other. So, the angle \((3x - 12)^{\circ}=90^{\circ}\)

Step2: Solve the equation for \(x\)

Set up the equation \(3x-12 = 90\).
Add \(12\) to both sides: \(3x=90 + 12\), so \(3x=102\).
Divide both sides by \(3\): \(x=\frac{102}{3}\)

Answer:

\(x = 34\)