Question

1. find the value of x.

Explanation:

Step1: Identify vertical - angle property

Vertical angles are equal. So, \(8x - 17=6x + 7\).

Step2: Isolate the variable terms

Subtract \(6x\) from both sides: \(8x-6x - 17=6x-6x + 7\), which simplifies to \(2x-17 = 7\).

Step3: Isolate the variable

Add 17 to both sides: \(2x-17 + 17=7 + 17\), getting \(2x=24\).

Step4: Solve for \(x\)

Divide both sides by 2: \(\frac{2x}{2}=\frac{24}{2}\), so \(x = 12\).

Answer:

\(x = 12\)