Question

Points A,B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of ABC is 180 degrees

Answer 1

Answer:

Step-by-step explanation:

            Statements                                                       Reasons

1). Points A, B and C form the triangle           1). Given

2). Let DE be a line passing through             2). Definition of parallel lines

    B and parallel to AC

3). ∠3 ≅ ∠5 and ∠1 ≅ ∠4                                3). Theorem of Alternate

                                                                               interior angles  

4). m∠1 = m∠4 and m∠3 = m∠5                      4). Definition of alternate angles

5). m∠4 + m∠2+ m∠5 = 180°                           5). Angle addition and definition

                                                                             of straight lines

6). m∠1 + m∠2+ m∠3 = 180°                            6). Substitution