Answer:
x = 8 , y = 14
Explanation:
Given that Δ ABC and Δ DEF are congruent , then
corresponding sides and angles are congruent , so
∠ E and ∠ B are corresponding angles , then
∠ E = ∠ B , that is
6y - 4 = 80 ( add 4 to both sides )
6y = 84 ( divide both sides by 6 )
y = 14
DE and AB are corresponding sides , then
DE = AB , that is
3x - y = 10 ( substitute y = 14 )
3x - 14 = 10 ( add 14 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8