Question

1. find the value of x.

x =
(5x - 1)°
(x + 79)°

Explanation:

Step1: Set angles equal (alternate interior)

The angles are alternate interior angles, so they are congruent:
$5x - 1 = x + 79$

Step2: Isolate x terms

Subtract $x$ from both sides:
$5x - x - 1 = 79$
$4x - 1 = 79$

Step3: Solve for x

Add 1 to both sides, then divide by 4:
$4x = 79 + 1$
$4x = 80$
$x = \frac{80}{4}$

Answer:

$20$