
To identify: two pairs of congruent alternate interior

Answer to Problem 6ST1
Explanation of Solution
Given:
The diagram:
Concept Used:
Alternate interior angles: These are the two non adjacent interior angles which are on the opposite sides of the transversal.
Theorem 3-2: If two parallel lines are cut by a transversal then the alternate interior angles are congruent.
Consider the given figure:
It can be observed that
Thus, by using the above definitions, it can be said that
Similarly,
Thus, by using the above definitions, it can be said that
Now it is given that the lines l and m are parallel and the line p is the transversal.
So by Theorem 3-2,
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