Answer/Step-by-step explanation:
1. YES.
Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)
Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.
2. YES.
Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)
Thus,
128° + 53° = 180°.
3. YES.
Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).
Thus,
The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.
4. YES
Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)
Thus, the two exterior angles are congruent, therefore l || m.
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