Question

1. lines a and b are parallel lines cut by a transversal. find the value of x. $(8x + 2)^circ$ $(14x - 76)^circ$

Explanation:

Step1: Identify congruent angles

The given angles are alternate interior angles, so they are equal:
$8x + 2 = 14x - 76$

Step2: Rearrange to isolate x terms

Subtract $8x$ from both sides:
$2 = 6x - 76$

Step3: Isolate the x term

Add 76 to both sides:
$78 = 6x$

Step4: Solve for x

Divide both sides by 6:
$x = \frac{78}{6}$

Answer:

$13$