Answer :
Angle 4 is congruent to angle 8. This is enough information to prove that 'u' parallel to 'v'.
What are parallel lines?
For a pair of lines, the perpendicular distance is equal at every point, then the pair of lines are called parallel lines.
The given information are:
1. Angle 2 is congruent to angle 4.
Angle 2 and Angle 4 are opposite angles. They are always equal.
This information does not prove that 'u' parallel to 'v'.
2. Angle 4 is congruent to angle 8.
Angle 4 and Angle 8 are corresponding angles.
This information proves that 'u' parallel to 'v'.
Angle 6 + angle 7 = 180 degrees.
The sum of the angle 6 and angle 7 are always 180 degrees.
This information does not prove that 'u' parallel to 'v'.
Angle 3 + angle 4 = 180 degrees
The sum of the angle 6 and angle 7 are always 180 degrees.
This information does not prove that 'u' parallel to 'v'.
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