Question

Developing Proof Complete this paragraph proof of Theorem 3-6. If two lines and a transversal form supplementary same-side interior angles, then the two lines are parallel. Given: 21 and 22 are supplementary. C Prove: € || m Proof: 22 is a supplement of a. *? and 23 is a supplement of b. ?.Since supplements of the same angle are congruent, c. ? = d.? , Since 22 and 23 are also corresponding angles, é || m by the e. ? Postulate. 3 2 6.​

Answer 1

Answer:

Step-by-step explanation:

Given:

∠1 and ∠2 are supplementary.

To prove:

l║m

Proof:

∠2 is a supplement of a. ∠1 (Given)

∠3 is a supplement of b. ∠1 [Linear pair of angles are supplementary]

Since supplements of the same angle are congruent,

c. ∠1 ≅ d. ∠2

Since ∠2 and ∠3 are also corresponding angles, l║m by the converse of same side interior angles postulate.