Question

which equation can be used to solve for x in the parallelogram below? (6x + 12)° (2x + 8)° (3x - 12)° (7x - 8)° a. 6x + 12 = 7x - 8 b. (3x - 12) + (7x - 8) = 90 c. 7x - 8 = 2x + 8 d. (7x - 8) + (6x + 12) = 180

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite angles are equal.

Step2: Identify opposite angles

The angles \((6x + 12)^{\circ}\) and \((7x-8)^{\circ}\) are opposite angles.

Step3: Set up the equation

Since opposite - angles are equal, we set \(6x + 12=7x - 8\).

Answer:

A. \(6x + 12 = 7x - 8\)