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Mathematics, 13.02.2021 07:50 nickonicyetlan

Given: Lines p and q are parallel and r is a transversal. Prove: ∠2 ≅ ∠7

Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7.
A 2-column table with 4 rows. Column 1 is labeled statements with the entries p is parallel to q and r is a transversal, A, B, angle 2 is congruent to angle 7. Column 2 is labeled reasons with the entries given, vertical angles are congruent, correlated angle theorem, transitive property.

Which statements could complete the proof?

A:
Angle 3 is congruent to angle 6.

B:

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Given: Lines p and q are parallel and r is a transversal. Prove: ∠2 ≅ ∠7

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