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

Statement Reason
Points A, B, and C form a triangle. given
Let be a line passing through B and parallel to . definition of parallel lines
∠3 ≅ ∠5 and ∠1 ≅ ∠4
m∠1 = m∠4 and m∠3 = m∠5
m∠4 + m∠2 + m∠5 = 180° angle addition and definition of a straight line
m∠1 + m∠2 + m∠3 = 180° substitution

Points A B and C form a triangle Complete the statements to prove that the sum of the interior angles of ΔABC is 180 Statement Reason Points A B and C form a tr class=

Respuesta :

daniegirl77

Answer:

∠3 ≅ ∠5 and ∠1 ≅ ∠4 = Alternate Interior Angles Theorem

m∠1 = m∠4 and m∠3 = m∠5 = Congruent angles have equal measures

Step-by-step explanation:

Plato/Edmentum

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