Question

solve for x.
work it out
not feeling ready yet? these can help:
transversals of parallel lines: find angle measures (81)
solve linear equations: mixed review (81)
lesson: transversals of parallel lines

Explanation:

Step1: Identify angle - relationship

Assume \(CD\parallel EF\), then \((x + 120)^{\circ}\) and \((2x)^{\circ}\) are corresponding angles (or alternate - exterior angles depending on parallel lines), and they are equal. So we set up the equation \(x + 120=2x\).

Step2: Solve the equation

Subtract \(x\) from both sides of the equation \(x + 120=2x\). We get \(120=2x - x\).

Answer:

\(x = 120\)