Given: AABCDE ||ACProve: mLA + MLABC + mzC = 180*StatementReason1. AABC ; DE ||AC1. Given2. Supplement Postulate3. Definition of supplementary angles4. Angle Addition Postulate5. Substitution Property2. 41 and ZABE are supplementary3. m21+m 2ABE - 1804. m22 + m23 - MLABE5. m21 + m22 + m23 - 180°6. ?7. Definition of congruency8. Substitution Property6. 41 a ZA; 3 a 2C7. m21 - mLA; mL3 - m2c8. mLA + MLABC + m2C - 180°Janet is trying to prove that the sum of the measures of the interior angles of a triangle is 180°.Which reason can she use to justify the statement in line 6?A.Alternate interior angles of parallel lines are congruentCorresponding angles of parallel lines are congruentExterior Angle TheoremD.Symmetric PropertyB.C.

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Given: AABC DE ||AC Prove: mLA + MLABC + m2c = 180* Statement Reason 1. AABC ; DE || AC 2. 41 and LABE are supplementary 2. Supplement Postulate 1. Given 3. me1+m LABE - 180 3. Definition of supplementary angles 4. m22+ m2a- MLABE 5. m21 + m2 + mL3 - 180° 4. Angie Addition Postulate 5. Substitution Property 7. m1 - mLA; mL3 - mLc 8. mLA + MLABC + mLC = 180° 6. 7 7. Definition of congruency 8. Substitution Property Janet is trying to prove that the sum of the measures of the interior angles of a triangle is 180°. Which reason can she use to justify the statement in line 6? A. ) Alternate interior angles of parallel lines are congruent ) Corresponding angles of parallel lines are congruent В. ) Exterior Angle Theorem C. D. Symmetric Property