Question

1. (12x - 1)° (10x + 7)° x=

Explanation:

Step1: Set up equation

Vertical - angles are equal. So, \(12x - 1=10x + 7\).

Step2: Subtract \(10x\) from both sides

\(12x-10x - 1=10x-10x + 7\), which simplifies to \(2x-1 = 7\).

Step3: Add 1 to both sides

\(2x-1 + 1=7 + 1\), resulting in \(2x=8\).

Step4: Divide both sides by 2

\(\frac{2x}{2}=\frac{8}{2}\), so \(x = 4\).

Answer:

\(x = 4\)