We are going to solve this problem by similar triangles. We then have the following relationship: (5x + 2 + 16) / (16) = (12 + 24) / (12) Rewriting we have: (5x + 18) / (16) = (36) / (12) (5x + 18) = 3 * 16 (5x + 18) = 48 5x = 48-18 5x = 30 x = 30/5 x = 6 Answer: The value of x using similarity of triangles is: x = 6
