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Mathematics, 17.01.2020 02:31 janayflowers042

Select the correct answer. given: δabc prove: the sum of the interior angle measures of δabc is 180°. statement reason 1. let points a, b, and c form a triangle. given 2. let be a line passing through b, parallel to , with angles as labeled. defining a parallel line and labeling angles 3. 4. m∠1 = m∠4, and m∠3 = m∠5. congruent angles have equal measures. 5. m∠4 + m∠2 + m∠5 = 180° angle addition and definition of a straight angle 6. m∠1 + m∠2 + m∠3 = 180° substitution what is the missing step in this proof? a. statement: ∠4 ≅ ∠5, and ∠1 ≅ ∠3. reason: alternate interior angles theorem b. statement: is parallel to . reason: is a transversal cutting and . c. statement: ∠1 ≅ ∠4, and ∠3 ≅ ∠5. reason: alternate interior angles theorem d. statement: ∠1 ≅ ∠4, and ∠3 ≅ ∠5. reason: ∠1 and ∠4, and ∠3 and ∠5 are pairs of supplementary angles.

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