Answer:
see explanation
Step-by-step explanation:
For the triangles to be congruent.
The hypotenuse and a leg of the triangle on the left and the hypotenuse and a leg of the triangle on the right must be congruent, thus
4y = x + 4 → (1)
x = y + 8 → (2)
Substitute x = y + 8 into (1)
4y = y + 8 + 4 = y + 12 ( subtract y from both sides )
3y = 12 ( divide both sides by 3 ) )
y = 4
Substitute y = 4 into (2)
x = 4 + 8 = 12
Thus
x = 12 and y = 4
