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QuizMultiple Choice

Triangle Angle Theorems

Question 1 • (OC27) GEO-1206310-S1-Degele-VOL7006P

Given: Lines y and z are parallel, and ABC forms a triangle.Prove: m∠5 + m∠2 + m∠6 = 180° Statements Reasons1.ABC is a triangle1.given2.y ∥ z2.given3.∠1 ≅ ∠5; ∠3 ≅ ∠63.?4.m∠1 = m∠5; m∠3 = m∠64.def. ≅5.m∠1 + m∠2 + m∠3 = m∠LAM5.∠ addition postulate6.m∠1 + m∠2 + m∠3 = 180°6.def. straight angle7.m∠5 + m∠2 + m∠6 = 180°7.substitutionWhich could be the missing reason in Step 3?

Question illustration
Answer
A
alternate interior angles are congruent
B
alternate exterior angles are congruent
C
vertical angles are congruent
D
corresponding angles are congruent
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Given: Lines y and z are parallel, and ABC forms…