Answer:
x = 2 , y = 1
Explanation:
For the triangles to be congruent then the hypotenuse and leg must be congruent, that is
x = y + 1 → (1)
4y = x + 2 → (2)
Substitute x = y + 1 into (2)
4y = y + 1 + 2
4y = y + 3 ( subtract y from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
Substitute y = 1 into (1)
x = y + 1 = 1 + 1 = 2