Alternate Interior Angles Theorem a. b. c. Corresponding Angles Flow Proof a. b. c. d. e. Proof Diagram a. b. c.

Step-by-step explanation:

(1). m∠5 = 40° → (a) Given

m∠2 = 140° → (b) Given

∠5 and ∠2 are supplementary angles → (c) Interior angles on the same side of the transversal.

∠5 and ∠2 are the same side interior angles → (d) Both angles are supplementary

a║b → (e) By interior angles theorem of the parallel lines.

(2).            Statements                 Reasons

   1.     l║n                               1. Given

   2.    ∠2 ≅ ∠6                      2. Corresponding angles  

   3.    ∠4 ≅ ∠2                      3. Vertical angles

   4.    ∠6 ≅ ∠4                      4. Transitive property of equality

(3).         Statements                Reasons

     1.       ∠1 ≅ ∠5                   1. Given

    2.       ∠4 ≅ ∠1                  2. Vertical angles

    3.       ∠4 ≅ ∠5                 3. Alternate interior angles

    4.       p║r                         4. Definition of parallel lines

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step-by-step explanation:

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