From the solutions, 3 of the options will guarantee l is parallel to m.
option A, C and D.
Explanation:
The conditions that guarantee lines are parallel:
corresponding angles, alternate angles, supplementary angles.
We check the options for any of this:
a) angle 1 congruent to angle 3.
These angles are vertical angles and the y are equal. they are congruent
b) angle 6 congruent to angle 1
these angles are not congruent as they are not equal to one another
c) angle 7 + angle 8 = 180
Both angles are on a straight line. Hence, they are supplementary angles.
d) angle 7 + angle 2 = 180
angle 2 = angle =6. They are corresponding angles
angle 6 + angle 7 = 180 degrees (sum of angles on a straight line). Hence, they are supplementary angles.
From the solutions, 3 of the options will guarantee l is parallel to m.
option A, C and D.
The option which directly guarantee is option C
