Question

solve for x.

Explanation:

Step1: Identify angle - relationship

Assume lines EF and GH are parallel. Then, the angles (3x + 23)° and (5x - 1)° are corresponding angles (or alternate - exterior/alternate - interior depending on the parallel - line properties), and they are equal. So, we set up the equation 3x+23 = 5x - 1.

Step2: Solve the equation for x

First, subtract 3x from both sides: 23=5x - 1-3x. Simplify to get 23 = 2x - 1. Then add 1 to both sides: 23 + 1=2x, which gives 24 = 2x. Divide both sides by 2: x = 12.

Answer:

12