\"\"

\

From the given pair of triangles  \"\".

\

Since all right angles are congruent, \"\".

\

So, by AA similarity postulate, \"\".

\

Using th definition of similar polygons, \"\".

\

\"\"                      (Write the proportion)

\

\"\"                      (Substitute \"\")

\

\"\"                   (Cross product)

\

\"\"                      (Multiply)

\

\"\"                              (Divide each side by 15)

\

Since \"\", \"\".\"\"

\

The value of x is 9. The measure of DE is 9.