The parallel lines XY and AC is an illustration of similar triangles
The value of YC is 12 units
From the question, we have:
Parallel lines XY || AC
This means that:
BA : BX = YC : BY
Substitute known values in the above ratio
15 : 10 = YC : 8
Express the ratio as fractions
[tex]\frac{15}{10} = \frac{YC}{8}[/tex]
This gives
[tex]1.5 = \frac{YC}{8}[/tex]
Multiply both sides by 8
[tex]YC = 12[/tex]
Hence, the value of YC is 12 units
Read more about similar triangles at:
https://brainly.com/question/14285697
