Answer:
x = 6
y = 2
Step-by-step explanation:
For both triangles to be congruent, their hypotenuse lengths and the corresponding length of the other leg must be equal to each other.
Thus:
x = y + 4 ---› Eqn. 1
x + 2 = 4y ----› Eqn. 2
Substitute x = (y + 4) into equation 2.
(y + 4) + 2 = 4y
y + 4 + 2 = 4y
y + 6 = 4y
y - 4y = -6
-3y = -6
y = 2
Substitute y = 2 into equation 1
x = y + 4 ---› eqn. 1
x = 2 + 4
x = 6
