Answer:
x = 5 and y = 13
Step-by-step explanation:
Points to remember
The ratio of of corresponding sides of similar triangles are equal.
From the figure we can see two similar triangle
To find the value of x
x/(x + 15) = 12/48
x/(x + 15) = 1/4
4 * x = x + 15
4x - x = 15
3x = 15
x = 15/3 = 5
To find the value of y
y/(y + 39) = 12/48 = 1/4
4y = y + 39
3y = 39
y = 39/3 = 13
Therefore x = 5 and y = 13