Question

solve for x.

x =

submit

work it out

not feeling ready yet? these can

transversals of parallel lines: find angle measures (81)

solve lin

lesson: transversals of parallel lines

Explanation:

Step1: Identify angle - relationship

Since \(FG\parallel HI\) and \(DE\) is a transversal, the angle \((2x - 15)^{\circ}\) and the \(59^{\circ}\) angle are corresponding angles, so \(2x-15 = 59\).

Step2: Solve the equation for \(x\)

Add 15 to both sides of the equation: \(2x=59 + 15\), so \(2x=74\). Then divide both sides by 2: \(x=\frac{74}{2}\).

Answer:

\(37\)