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Mathematics, 12.08.2020 08:01 taylorraffle8662

Given: m || n and p is a transversal Prove: mAngle2 = mAngle7

Horizontal and parallel lines m and n are cut by transversal p. On line m where it intersects line p, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, 4, 3. On line n where it intersects line p, 4 angles are created. Labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7.
What is the missing reason in the proof?

Statement Reason
1.m || n and p is a transversal1.given
2.∠2 ≅ ∠32.ver. ∠s theorem
3.m∠2 = m∠33.def. of congruent
4.∠3 ≅ ∠74.corr. ∠s theorem
5.m∠3 = m∠75.def. of congruent
6.m∠2 = m∠76.?
corresponding angles theorem
alternate interior angles theorem
transitive property
subtraction property

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Given: m || n and p is a transversal Prove: mAngle2 = mAngle7

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