Because of the vertical angles and alternate interior angles we know these are similar triangles. Use what you know about proportional sides to solve for the unknown side ,x

Answer:
x = 20
Step-by-step explanation:
Length 6 corresponds to length 15
Length 8 corresponds to length x
15 ÷ 6 = 2.5
8 • 2.5 = 20
x = 20
2.5 is the scale factor of the small triangle to the big triangle.