Question

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

Explanation:

Step1: Use the property of parallel lines

Since \( l\parallel m\parallel n \), the angle \( 118^{\circ} \) and \( (2x + 10)^{\circ} \) are supplementary angles. The sum of supplementary angles is \( 180^{\circ} \). So we can set up the equation \( 2x+10 + 118=180 \).

Step2: Simplify the equation

First, combine like - terms: \( 2x+(10 + 118)=180 \), which gives \( 2x+128 = 180 \).
Then, subtract 128 from both sides of the equation: \( 2x=180 - 128 \). So \( 2x=52 \).

Step3: Solve for \( x \)

Divide both sides of the equation \( 2x = 52 \) by 2. We get \( x=\frac{52}{2}=26 \).

Answer:

\( x = 26 \)