Question

b.
180
38
42
3x
x + 20
x = ____
x

Explanation:

Step1: Use property of parallel - lines

When two parallel lines are cut by a transversal, corresponding angles are equal. Here, \(3x\) and \(x + 20\) are corresponding angles, so \(3x=x + 20\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides of the equation \(3x=x + 20\). We get \(3x−x=x + 20−x\), which simplifies to \(2x=20\).

Step3: Isolate \(x\)

Divide both sides of the equation \(2x = 20\) by 2. So, \(\frac{2x}{2}=\frac{20}{2}\), and \(x = 10\).

Answer:

10