Question

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

Explanation:

Step1: Set up equation

Vertical - angles are equal. So, $6x + 7=8x - 17$.

Step2: Isolate x - terms

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

Step3: Isolate the constant

Add 17 to both sides: $7 + 17=2x-17 + 17$, resulting in $24 = 2x$.

Step4: Solve for x

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

Answer:

$x = 12$