Answer:
x = 3
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are equal, thus
x - y = x + 2 ( subtract x from both sides )
- y = 2 ( multiply both sides by - 1 )
y = - 2
and
4x + 2y = 2x - y
substitute y = - 2
4x - 4 = 2x + 2 ( subtract 2x from both sides )
2x - 4 = 2 ( add 4 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3