Question

1. find the value of x for which l || m. 55° (x + 25)° 35 30 55 80

Explanation:

Step1: Identify angle - relationship

When two lines \(l\) and \(m\) are parallel, the corresponding angles are equal. Here, the angle of \(55^{\circ}\) and the angle \((x + 25)^{\circ}\) are corresponding angles. So we set up the equation \(x+25 = 55\).

Step2: Solve the equation for \(x\)

Subtract 25 from both sides of the equation \(x+25=55\). We get \(x=55 - 25\).

Answer:

\(x = 30\)