Question

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

Explanation:

Step1: Identify angle - relationship

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

Step2: Rearrange the equation

Subtract $6x$ from both sides: $7 = 8x-6x - 17$.
$7=2x - 17$.

Step3: Solve for x

Add 17 to both sides: $7 + 17=2x$.
$24 = 2x$.
Divide both sides by 2: $x=\frac{24}{2}=12$.

Answer:

$12$