Answer:
∠ FLJ = 68°
Explanation:
∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then
∠EKG = ∠ FLF ( substitute values )
8x - 12 = 5x + 18 ( subtract 5x from both sides )
8x - 5x - 12 = 5x - 5x + 18 ( simplify both sides )
3x - 12 = 18 ( add 12 to both sides )
3x - 12 + 12 = 18 + 12 ( simplify both sides )
3x = 30 ( divide both sides by 3 )
x =
, that is
x = 10
Then
∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°