Question

what value of x will make parallelogram abcd a rhombus?
x =
(3x - 12)°

Explanation:

Step1: Recall rhombus property

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

Step2: Solve the equation

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

Answer:

\(x = 34\)