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The proof - ∠ 5 + ∠ 2 + ∠ 6 = 180 - is completed using relevant theorems some includes

  • angle addition postulate
  • alternate interior angles congruent

How to complete the proof

The two column proof is written as follows

Statement Reason

∠ 1 + ∠ 2 + ∠ 3 = ∠ LAM angle addition postulate

y || Z given

∠1 ≅ ∠ 5 and ∠3 ≅ ∠ 6 alternate interior angles congruent

∠ 1 + ∠ 2 + ∠ 3 = 180 definition of straight angle

∠ 5 + ∠ 2 + ∠ 6 = 180 substitution property of equality

User Harryghgim
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