figure abcd is a parallelogram
if abcd is also a rhombus, what must be the value of x?

Question

Accepted Answer

# Explanation:
## Step1: Recall the property of a rhombus
In a rhombus, the diagonals are perpendicular to each other. So, the angle $(5x + 25)^{\circ}=90^{\circ}$
## Step2: Solve the equation for $x$
$$
\begin{align*}
5x+25&=90\
5x&=90 - 25\
5x&=65\
x&=\frac{65}{5}\
x& = 13
\end{align*}
$$
# Answer:
$13$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the property of a rhombus

Step2: Solve the equation for \(x\)

Answer: