Here, we want to find the value of x
From the question, we have that the two triangles are similar
When two triangles are similar, the the ratio of their corresponding sides are equal
Thus, we have it that;
[tex]\begin{gathered} \frac{24}{30}\text{ = }\frac{8}{x} \\ \\ 24\text{ }\times\text{ x = 30}\times8 \\ x\text{ =}\frac{30\times8}{24} \\ x\text{ = 10} \end{gathered}[/tex]