Question

1. find the value of x. (11x - 15)° (5x - 13)°

Explanation:

Step1: Identify angle - relationship

The two angles are vertical angles, and vertical angles are equal. So we set up the equation $11x - 15=5x - 13$.

Step2: Solve for $x$

Subtract $5x$ from both sides: $11x-5x - 15=5x-5x - 13$, which simplifies to $6x-15=-13$.
Then add 15 to both sides: $6x-15 + 15=-13 + 15$, getting $6x = 2$.
Divide both sides by 6: $x=\frac{2}{6}=\frac{1}{3}$.

Answer:

$x=\frac{1}{3}$