Answer:
1. Statement: y || z
Reason: given
2. Statement: m∠1 + m∠2 + m∠3 = m∠LAM
Reason: angle addition postulate
3. Statement: m∠1 + m∠2 + m∠3 =180
Reason: def. of a straight angle
4. Statement: ∠1 ≅∠5
Reason: alternate interior angles theorem
5. Statement: ∠3 ≅∠6
Reason: alternate interior angles theorem
6. Statement: m∠1 = m∠5
Reason: def. of ≅
7. Statement: m∠3 = m∠6
Reason: def. of ≅
8. Statement: m∠5 + m∠2 + m∠6 = 180
Reason: substitution
Step-by-step explanation:
Hope this helps! :)
