Question

question
given ( l parallel m parallel n ), find the value of ( x ).
answer

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. Here, \(x\) and \(145^{\circ}\) are consecutive interior angles.

Step2: Set up the equation

\(x + 145^{\circ}=180^{\circ}\)

Step3: Solve for \(x\)

\(x=180^{\circ}- 145^{\circ}\)
\(x = 35^{\circ}\)

Answer:

\(35\)