Answer:
Option A. x=30,y=42
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Triangles ABC and ZYX have three congruent interior angles
therefore
Triangles are similar
step 1
Find the value of x
[tex]\frac{ZY}{AB}=\frac{ZX}{AC}[/tex]
substitute the values
[tex]\frac{20}{x}=\frac{12}{18}[/tex]
[tex]x=20*18/12=30\ units[/tex]
step 2
Find the value of y
[tex]\frac{ZY}{AB}=\frac{XY}{CB}[/tex]
substitute the values
[tex]\frac{20}{30}=\frac{28}{y}[/tex]
[tex]y=30*28/20=42\ units[/tex]
