Question

question 1 - 6. lines a and b are cut by a transversal. which value of x will make a parallel to b? (2x)° (4x - 30)° 5 15 20 35

Explanation:

Step1: Use corresponding - angles property

When two parallel lines are cut by a transversal, corresponding angles are equal. Here, if \(a\parallel b\), then \(2x = 4x - 30\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(0=4x - 2x-30\), which simplifies to \(2x - 30 = 0\). Then add 30 to both sides: \(2x=30\). Divide both sides by 2: \(x = 15\).

Answer:

15