Question

Can someone please help me fast

Answer 1

∠ 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 )

`(3)/(3)` x =
`(30)/(3)` , that is

x = 10

Then

∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°