Question

solve for x.

Explanation:

Step1: Use the property of corresponding angles

Since \(CD\parallel EF\), \(\angle CGH\) and \(\angle EHG\) are corresponding angles. But \(\angle CGH\) and \(15x\) are vertical angles (\(\angle CGH = 15x\)), and \(\angle EHG=5x + 70\). So \(15x=5x + 70\).

Step2: Solve the equation

Subtract \(5x\) from both sides: \(15x-5x=5x + 70-5x\), which gives \(10x=70\).
Divide both sides by \(10\): \(x=\frac{70}{10}\).

Answer:

\(x = 7\)