Question

3) in the given figure if angle a is congruent then prove that line parallel line m
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Answer 1

Answer:

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.

Step-by-step explanation:

Two angles are congruent if they have the same measure. You already know that when two lines intersect the vertical angles formed are congruent. You have also seen that if ∠A and ∠B are each complementary to ∠C, then ∠A ~= ∠B. There are other angle relationships to explore.

Possible answer: alternate interior angles; if the two alternate interior angles ∠4 and ∠6 are congruent, then the lines ℓ and m are parallel.