The following diagram shows two similar triangles, ALJK - AOMN. What is the missing value of

Answer:
Step-by-step explanation:
Similar triangles have corresponding sides equal and also angles are congruent.
Therefore a* = 88* , b* = 40*, c* = 52*
[tex]\frac{JL}{MO} = \frac{JK}{MN} = \frac{KL}{ON}[/tex]
[tex]\frac{14}{21} = \frac{18}{y} = \frac{15}{x}[/tex]
Solving this,
[tex]\frac{14}{21} = \frac{18}{y}[/tex]
y = (21 * 18) / 14
y = 27
[tex]\frac{14}{21} = \frac{15}{x}[/tex]
x = (15 * 21) /14
x = 22.5