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Mathematics, 15.08.2020 01:01 nvc1127

Jazz draws a transversal, t, on two parallel lines AB and CD, as shown below: Two parallel lines are shown cut by a transversal labeled t. 1, 2, 7 and 8 are marked clockwise as exterior angles. 4, 3, 6, and 5 are marked clockwise as interior angles He makes the following table to prove that the alternate interior angles are equal: Statement Justification angle 2 = angle 6 Corresponding angles of parallel lines are congruent. angle 2 = angle 4 ? angle 4 = angle 6 transitive property of equality, angle 2 = angle 6, angle 2 = angle 4, therefore angle 4 = angle 6 Which is the missing justification? (6 points) Angles 1 and 3 are supplementary; therefore, angle 2 is equal to angle 4. Alternate interior angles are congruent. Vertical angles are congruent. Angles 1 and 4 and angles 1 and 2 are congruent; therefore, angle 2 is equal to angle 4.

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