Question

What must be true for lines a and b to be parallel lines? Check all that apply

Answer 1

the question does not present the options, but this does not interfere with the resolution

we know that

if a and b are parallel lines

so

1) m∠2=58°------> by corresponding angles

2) m∠1=4x-10------> by alternate exterior angles

3) [m∠2+m∠(3x-1)]+m ∠1=180°------> by supplementary angles

58+(3x-1)+4x-10=180

7x=180-47

7x=133

x=19°

4) angle (4x-10)=-4*19-10-------> 66°

5) angle 3x-1=3*19-1-------> 56°