Question

1. find the value of x. (6x + 7)° (8x - 17)°

Explanation:

Step1: Set the angles equal

Since vertical - angles are equal, we set \(6x + 7=8x - 17\).

Step2: Isolate the variable terms

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

Step3: Solve for \(x\)

Add 17 to both sides: \(7 + 17=2x-17 + 17\), so \(24 = 2x\). Then divide both sides by 2: \(\frac{24}{2}=\frac{2x}{2}\), and \(x = 12\).

Answer:

\(x = 12\)