Question

solve for x.

Explanation:

Step1: Identify angle relationship

Assume the angles are corresponding or alternate - interior/exterior angles (since parallel lines are indicated by arrow - heads), so they are equal. Set up the equation $15x + 8=9x + 26$.

Step2: Subtract $9x$ from both sides

$15x-9x + 8=9x-9x + 26$, which simplifies to $6x+8 = 26$.

Step3: Subtract 8 from both sides

$6x+8 - 8=26 - 8$, resulting in $6x=18$.

Step4: Divide both sides by 6

$\frac{6x}{6}=\frac{18}{6}$, so $x = 3$.

Answer:

$3$