152k views
5 votes
Given line m is not parallel to line n, prove ∠3 is not congruent to ∠5 by contradiction.

User Beena
by
8.0k points

1 Answer

0 votes

Answer:

∠3 is congruent to ∠5 must be false, and we can conclude that ∠3 is not congruent to ∠5.

Explanation:

To prove that ∠3 is not congruent to ∠5 by contradiction, we assume that ∠3 is congruent to ∠5. Since line m is not parallel to line n, we know that ∠3 and ∠5 are corresponding angles. If ∠3 is congruent to ∠5, then lines m and n must be parallel by the Corresponding Angles Postulate. This contradicts the given statement that line m is not parallel to line n. Therefore, our assumption that ∠3 is congruent to ∠5 must be false, and we can conclude that ∠3 is not congruent to ∠5.

Hope I helped :)

User Vahan
by
8.0k points