Question

1. find the value of x. (11x - 17)° (5x + 5)°

Explanation:

Step1: Assume vertical - angles

Since vertical angles are equal, we set up the equation $11x - 17=5x + 5$.

Step2: Isolate x - terms

Subtract $5x$ from both sides: $11x-5x - 17=5x-5x + 5$, which simplifies to $6x-17 = 5$.

Step3: Isolate the constant

Add 17 to both sides: $6x-17 + 17=5 + 17$, getting $6x=22$.

Step4: Solve for x

Divide both sides by 6: $x=\frac{22}{6}=\frac{11}{3}$.

Answer:

$x = \frac{11}{3}$