Question

3 the figure shows two lines cut by a transversal. which value of x shows that the lines are parallel? a x = 36 b x = 42 c x = 48 d x = 72

Explanation:

Step1: Use the property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are equal. So, \(x = 2x−36\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(x−2x=2x - 36−2x\), which gives \(-x=-36\). Multiply both sides by \(- 1\): \(x = 36\).

Answer:

A. \(x = 36\)