The values of x and y are 15 and 36 respectively.
Similar triangles have thesame corresponding angles and the ratio of their corresponding sides are equal.
To find the values of x and y , we use the similarity theorem;
5+x/x = 24/18
18(5+x) = 24x
90 + 18x = 24x
collect like terms
90 = 24x - 18x
6x = 90
divide both sides by 6
x = 90/6
x = 15
To find y
12+y)/12= 20/5
60 + 5y = 240
5y = 180
y = 36
Therefore the values of x and y are 15 and 36 respectively.