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
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).
To determine if lines a and b are parallel, the following conditions must be true:
1. The corresponding angles formed by the transversals on lines a and b are congruent.
In this case, the corresponding angles formed by lines a, c, and d are (3x - 1) degrees and (4x - 10) degrees. So, (3x - 1) degrees = (4x - 10) degrees.
2. The alternate interior angles formed by the transversals on lines a and b are congruent.
In this case, the alternate interior angles formed by lines b and d are 58 degrees.
So, for lines a and b to be parallel, (3x - 1) degrees must equal (4x - 10) degrees, and the angle formed by lines b and d must be 58 degrees.