Answer:
D.
[tex]\measuredangle a+\measuredangle c=180^0[/tex]
Explanation:
Given the line l1 and l2. as shown in the figure below.
We want to find the rule that will not prove line l1 is parallel to l2;
Let us examine each of the conditions;
A. angle b congruent to angle d.
This proves that the two line are parallel.
Reason; Corresponding angles
B. angle b plus angle a equals 180 degree.
This condition also prove that the two lines are parallel.
Reason: Angle b equals angle d, angle d and angle a are supplementary angles.
C. angle c is congruent to angle b.
This condition also prove that the two lines are parallel.
D. Angle a plus angle c equals 180 degree.
This condition does not relate line l1 to line l2.
So, it does not prove that line l1 and l2 are parallel.
