The reason for the last step in the given proof is option E; For parallel lines cut by a transversal, corresponding angles are congruent.
What are congruent angles?
Angles that are of the same measurement are called congruent.
Suppose that two angles ∠A and ∠B are of the same measure, then
[tex]m\angle A = m\angle B[/tex]
is the notation to say that they are of the same measurement, where the small m shows that it's the measurement of the angles they're preceding.
We write the congruency between them as;
[tex]\angle A \cong \angle B[/tex]
The last step is as folows
∠JIK ≅∠IJL
For parallel lines cut by a transversal, corresponding angles are congruent.
Since the two angles are corresponding angles and the two parallel lines are cut by a transversal.
The reason for the last step in the given proof is option E; For parallel lines cut by a transversal, corresponding angles are congruent.
Learn more about angles here;
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