Question

find the value of z in rhombus stuv.
z = \boxed{\space}^\circ
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Explanation:

Step1: Recall rhombus angle property

In a rhombus, adjacent angles are supplementary, meaning they add up to \(180^\circ\). Also, in a rhombus, consecutive angles (adjacent angles) have a relationship where if one angle is \(z\) and the next is \(2z\), they are adjacent and thus supplementary. So we set up the equation \(z + 2z=180\).

Step2: Solve the equation

Combine like terms: \(3z = 180\). Then divide both sides by 3: \(z=\frac{180}{3}=60\).

Answer:

\(60\)