Answer:
The equation to solve for x is 8x - 14 = 5x + 34
The value of x is 16
Explanation:
Let us use the angles between the parallel lines to find x
∵ Lines l and m are parallel
∴ ∠(8x - 14)° and ∠(5x + 34)° are alternate exterior angles
∵ The alternate exterior angles are congruent
∴ ∠(8x - 14)° ≅ ∠(5x + 34)°
→ Equate them
∴ 8x - 14 = 5x + 34
∴ The equation to solve for x is 8x - 14 = 5x + 34
Let us solve it to find x
∵ 8x - 14 = 5x + 34
→ Subtract 5x from both sides
∵ 8x - 5x - 14 = 5x - 5x + 34
∴ 3x - 14 = 34
→ Add 14 to both sides
∴ 3x - 14 + 14 = 34 + 14
∴ 3x = 48
→ Divide both sides by 3 to find x
∴
∴ x = 16
∴ The value of x is 16