Question

solving for missing measures
what value of ( x ) will make parallelogram ( a b c d ) a rhombus?
( x=square )

Explanation:

Step1: Recall the property of a rhombus

In a rhombus, the diagonals are perpendicular. So, \(3x - 12=90\)

Step2: Solve the equation for \(x\)

Add \(12\) to both sides of the equation: \(3x=90 + 12\), which simplifies to \(3x=102\).
Divide both sides by \(3\): \(x=\frac{102}{3}\)

Answer:

\(x = 34\)