Question

Due tomorrow help please :)

Answer 1

68°

Explanation:

The angles are equal to each other. Set them equal and solve for x

5x + 18 = 8x - 12 Subtract 5x from both sides of the equation

18 = 3x - 12 Add 12 to both sides of the equation

30 = 3x Divide both sides by 3

10 = x

Now that you have found x plug is back into 5x + 18

5(10) + 18

50 + 18 = 68

Answer 2

∠ FLJ = 68°

Explanation:

∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then

8x - 12 = 5x + 18 ( subtract 5x from both sides )

3x - 12 = 18 ( add 12 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

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