Question

gonzales, julius lhs geo u3 fa #3 parallel lines & a solve for x. x + 124 60° x=

Explanation:

Step1: Use angle - relationship of parallel lines

When two parallel lines are cut by a transversal, the sum of adjacent angles on the same - side of the transversal is 180°. Here, the angle \(x + 124\) and the 60° angle are adjacent angles on the same - side of the transversal. So, we can set up the equation \((x + 124)+60=180\).

Step2: Simplify the left - hand side of the equation

\(x+124 + 60=x + 184\). So the equation becomes \(x+184 = 180\).

Step3: Solve for x

Subtract 184 from both sides of the equation: \(x=180 - 184\).
\(x=-4\).

Answer:

\(x=-4\)