Question

what must be true for lines a and b to be parallel lines? select two options. (3x - 1)° 2 1 (4x - 10)° 58°

Explanation:

Step1: Use corresponding - angles property

If lines a and b are parallel, then corresponding angles are equal. So \(3x - 1=58\) or \(4x - 10 = 58\).

Step2: Solve \(3x - 1=58\)

Add 1 to both sides: \(3x=59\), \(x=\frac{59}{3}\).

Step3: Solve \(4x - 10 = 58\)

Add 10 to both sides: \(4x = 68\), then \(x = 17\).

Answer:

If \(x = 17\), the lines a and b are parallel (by corresponding - angles postulate). Another condition could be based on alternate - interior or exterior angles relationships. But from the given setup, solving \(4x-10 = 58\) gives \(x = 17\) which makes corresponding angles equal and lines a and b parallel.