Since ∠1 and ∠2 are corresponding angles and both have an equal measure, then j║k.
We need to check which lines from the given diagram are parallel.
What are different conditions to prove the given lines are parallel?
Conditions to prove the given lines are parallel are as follows:
- The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel.
- The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.
Here, ∠1 and ∠2 are corresponding angles.
Thus, ∠1 =∠2=90°.
Since ∠1 and ∠2 are corresponding angles and both have an equal measure, then j║k.
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