Answer:
x = 9
Step-by-step explanation:
Here, we want to find the value of x
To do this, we are going to use the similar triangles principle
When two triangles are similar, the ratio of their corresponding sides are the same
The two similar triangles we shall be using are;
LMN and LJK
Thus, we have it that;
x/8.5 = x+ 9/17
17x = 8.5(x + 9)
17x = 8.5x + 76.5
17x - 8.5x = 76.5
8.5x = 76.5
x = 76.5/8.5
x = 9