What must be true for lines a and b to be parallel lines? Select two options.

Lines a and b are crossed by transversals c and d. The angles formed by lines a, c, and d, clockwise from top left, are (3 x minus 1) degrees, 2, blank, blank, blank, 1. The angles formed by lines b and c are blank, (4 x minus 10) degrees, blank, blank. The angles formed by lines b and d are 58 degrees, blank, blank, blank.
mAngle1 = (4 x minus 10) degrees
mAngle2 = 58Degrees
x = 20
(3 x minus 1) degrees equals = (4 x minus 10) degrees
Angle1 = 58Degrees

1 answer

There are two conditions that must be met for lines a and b to be parallel:

1) The corresponding angles formed by lines a and b and the transversals c and d must be congruent. In this case, angle1 (3x - 1) degrees must equal angle2 (4x - 10) degrees.

2) The alternate interior angles formed by lines a and b and the transversals c and d must be congruent. In this case, angle1 (58 degrees) must equal angle2 (2 degrees).
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