Question

solve for x.

Explanation:

Step1: Identify angle - relationship

Since the two angles $(9x)^{\circ}$ and $(8x + 10)^{\circ}$ are corresponding angles formed by parallel lines (assuming $KL\parallel MN$ and $IJ$ is a transversal), they are equal. So we set up the equation $9x=8x + 10$.

Step2: Solve the equation

Subtract $8x$ from both sides of the equation $9x=8x + 10$. We get $9x-8x=8x + 10-8x$.
$x = 10$.

Answer:

$x = 10$