Question

given (lparallel mparallel n), find the value of (x).

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\parallel n\), the angle \((7x + 7)^{\circ}\) and the angle that is corresponding to the \(133^{\circ}\) angle are equal. So, \(7x+7 = 133\).

Step2: Solve the equation for \(x\)

Subtract 7 from both sides of the equation: \(7x=133 - 7\).
\(7x=126\).
Then divide both sides by 7: \(x=\frac{126}{7}\).
\(x = 18\).

Answer:

\(x = 18\)