Question

1. solve for x. (10x + 1)° (12x - 5)°

Explanation:

Step1: Set the two angles equal

Vertical - angles are equal. So, we set \(10x + 1=12x - 5\).

Step2: Move the \(x\) - terms to one side

Subtract \(10x\) from both sides: \(1 = 12x-10x - 5\), which simplifies to \(1 = 2x-5\).

Step3: Isolate the variable \(x\)

Add 5 to both sides: \(1 + 5=2x\), so \(6 = 2x\). Then divide both sides by 2: \(x=\frac{6}{2}=3\).

Answer:

\(x = 3\)