OlajuwonJ279780 OlajuwonJ279780

29-10-2022
Mathematics

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prove that if two parallel lines are crossed by a transversal, then alternate exterior angles are congruent

prove that if two parallel lines are crossed by a transversal then alternate exterior angles are congruent class=

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FaithfulM64080 FaithfulM64080

29-10-2022

Since p∥q, we can use the corresponding angles postulate to state the following

[tex]\angle2\cong\angle3[/tex]

Then, by the Vertical Angles Theorem

[tex]\angle1\cong\angle3[/tex]

Then, by the transitive property of congruence

[tex]\angle1\cong\angle2[/tex]

And this proves that alternate exterior angles are congruent.

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