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 transversal 1. given
2. ∠2 ≅ ∠3 2. ver. ∠s theorem
3. m∠2 = m∠3 3. def. of congruent
4. ∠3 ≅ ∠7 4. corr. ∠s theorem
5. m∠3 = m∠7 5. def. of congruent
6. m∠2 = m∠7 6. ?
corresponding angles theorem
alternate interior angles theorem
transitive property
subtraction property

Transitive property

Step-by-step explanation:

Given:

1. m || n and p is a transversal 1. given

2. ∠2 ≅ ∠3 2. ver. ∠s theorem

3. m∠2 = m∠3 3. def. of congruent

4. ∠3 ≅ ∠7 4. corr. ∠s theorem

5. m∠3 = m∠7 5. def. of congruent

6. m∠2 = m∠7 6. ?

Note:

Transitive property states that: If a = b and b = c, then a = c.

Solve:

2. ∠2 ≅ ∠3  ⇒ 2. ver. ∠s theorem

5. m∠3 = m∠7 ⇒ 5. def. of congruent

These statement to make use of the transitive property reason or proof.

∴ 6. m∠2 = m∠7  ⇒   6. transitive property

Hence, the answer is Transitive property.

~Lenvy!~

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

the answer is 489

step-by-step explanation: