Question

solve for x.
x =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle DJG$ and $\angle HKI$ are vertical angles, so $10x−26 = 7x + 7$.

Step2: Isolate the variable terms

Subtract $7x$ from both sides of the equation: $10x-7x - 26=7x-7x + 7$, which simplifies to $3x-26 = 7$.

Step3: Isolate the variable

Add 26 to both sides: $3x-26 + 26=7 + 26$, getting $3x=33$.

Step4: Solve for x

Divide both sides by 3: $\frac{3x}{3}=\frac{33}{3}$, so $x = 11$.

Answer:

$11$