Question

solve for x.

x =

Explanation:

Step1: Use the property of corresponding angles

Since \(FG\parallel HI\), \( \angle DJG\) and \( \angle EKI\) are corresponding angles. Corresponding angles are equal. So, \(10x - 26=7x + 7\).

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides: \(10x-7x - 26=7x-7x + 7\), which simplifies to \(3x-26 = 7\).
Add \(26\) to both sides: \(3x-26 + 26=7 + 26\), so \(3x=33\).
Divide both sides by \(3\): \(x=\frac{33}{3}\).

Answer:

\(11\)