Question

1. what is the value of x that makes ℓ1 || ℓ2? (4x)° (2x + 20)°

Explanation:

Step1: Use corresponding - angles property

When \(l_1\parallel l_2\), the corresponding angles are equal. So, \(4x = 2x + 20\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides of the equation \(4x=2x + 20\). We get \(4x-2x=2x + 20-2x\), which simplifies to \(2x=20\).
Then divide both sides by 2: \(x=\frac{20}{2}\).

Answer:

\(x = 10\)