Question

which is the correct equation to solve for x? 16x + 180 = 90 12x - 19 = 4x + 1 12x - 19 + 4x + 1 = 90 12x - 19 + 4x + 1 = 180

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, alternate - interior angles are equal. Here, the angles \((12x - 19)^{\circ}\) and \((4x + 1)^{\circ}\) are alternate - interior angles.

Step2: Set up the equation

Since alternate - interior angles are equal, we can set up the equation \(12x - 19 = 4x + 1\).

Answer:

\(12x - 19 = 4x + 1\)