Question

1. what is the value of x that makes ℓ₁ || ℓ₂? (3x - 15)° (2x + 10)°

Explanation:

Step1: Use corresponding - angles property

If \(l_1\parallel l_2\), then the corresponding angles are equal. So, \(3x - 15=2x + 10\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(3x-2x-15=2x - 2x+10\), which simplifies to \(x - 15=10\).
Then add 15 to both sides: \(x-15 + 15=10 + 15\).

Answer:

\(x = 25\)