SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Draw the given figure
STEP 2: Identify the shape
The given figure is a Rhombus and has the following characteristics
A rhombus has four equal sides and opposite angles equal
[tex]\begin{gathered} \text{The given measures are:} \\
STEP 3: Since
[tex]\begin{gathered} \text{Therefore, CDA=EDA} \\ 7x+7=13x-17 \end{gathered}[/tex]
STEP 4: solve for x
[tex]\begin{gathered} 7x+7=13x-17 \\ \text{Subtract 7 from both sides} \\ 7x+7-7=13x-17-7 \\ 7x=13x-24 \\ \text{Subtract 13x from both sides} \\ 7x-13x=13x-24 \\ -6x=-24 \\ \text{Divide both sides by -6} \\ -\frac{6x}{-6}=-\frac{24}{-6} \\ x=4 \end{gathered}[/tex]
Hence, the value of x in the given figure is 4
