Answer:
AB = 24 ft , ∠ EDF = 42°
Step-by-step explanation:
since the triangles are congruent then corresponding sides and angles are congruent.
(a)
DE = AB , that is
4x = 3x + 6 ( subtract 3x from both sides )
x = 6
then
AB = 3x + 6 = 3(6) + 6 = 18 + 6 = 24 ft
(b)
∠ EDF = ∠ BAC , that is
8y + 2 = 6y + 12 ( subtract 6y from both sides )
2y + 2 = 12 ( subtract 2 from both sides )
2y = 10 ( divide both sides by 2 )
y = 5
then
∠ EDF = 8y + 2 = 8(5) + 2 = 40 + 2 = 42°