Explore a vast range of topics and get informed answers at IDNLearn.com. Find accurate and detailed answers to your questions from our experienced and dedicated community members.
Given: Lines a and b are parallel and line c is a transversal.
Prove: Angle2 is supplementary to Angle8
Horizontal and parallel lines a and b are cut by transversal c. On line a where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, 4, 3. On line b where it intersects line c, 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. a || b, c is a transversal 1. given
2. ∠6 ≅ ∠2 2. ?
3. m∠6 = m∠2 3. def. of congruent
4. ∠6 is supp. to ∠8 4. def. of linear pair
5. ∠2 is supp. to ∠8 5. congruent supplements theorem
corresponding angles theorem
alternate interior angles theorem
vertical angles theorem
alternate exterior angles theorem
Sagot :
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.