Question

solve for x.

x =
submit

Explanation:

Step1: Identify angle - relationship

Assume lines \(CD\) and \(EF\) are parallel and \(AB\) is a transversal. Then \(\angle DGH\) and \(\angle EHG\) are alternate - interior angles. Alternate - interior angles are equal when two parallel lines are cut by a transversal. So \(15x=5x + 70\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides of the equation \(15x=5x + 70\). We get \(15x-5x=5x + 70-5x\), which simplifies to \(10x=70\). Then divide both sides by 10: \(x=\frac{70}{10}\).

Answer:

\(x = 7\)