Question

find m∠u in rhombus stuv. s 2z - 24° v z u m∠u = °

Explanation:

Step1: Recall rhombus angle - property

Adjacent angles of a rhombus are supplementary, so $\angle S+\angle V = 180^{\circ}$.
$(2z - 24)+z=180$

Step2: Solve the equation for $z$

Combine like - terms: $2z+z-24 = 180$, which gives $3z-24 = 180$.
Add 24 to both sides: $3z=180 + 24=204$.
Divide both sides by 3: $z=\frac{204}{3}=68$.

Step3: Find $\angle U$

Opposite angles of a rhombus are equal, and $\angle U=\angle S$.
Substitute $z = 68$ into the expression for $\angle S$: $\angle S=2z-24$.
$\angle S=2\times68-24=136 - 24=112^{\circ}$. So $m\angle U = 112$.

Answer:

$112$