Statements | Reasons |
1. Parallelogram ABCD | Given |
2. ¯AD∥¯BC ¯AB∥¯CD | Definition of a Parallelogram |
3. m∠B+m∠A=180∘ m∠B+m∠C=180∘ | Same-Side Interior Angles Theorem |
∠Aand∠Bare supplementary.∠Band∠Care supplementary. | Definition of supplementary angles. |
Statements | Reasons |
1. Parallelogram ABCD | Given |
2. ¯AD∥¯BC ¯AB∥¯CD | Definition of a Parallelogram |
3. m∠B+m∠A=180∘ m∠B+m∠C=180∘ | Same-Side Interior Angles Theorem |
∠Aand∠Bare supplementary.∠Band∠Care supplementary. | Definition of supplementary angles. |