kylercollings
kylercollings kylercollings
  • 16-03-2022
  • Mathematics
contestada

Complete the proof showing why vertical angles are congruent WITHOUT using the vertical angles theorem. Will Give Brainlist!!!!!

Complete the proof showing why vertical angles are congruent WITHOUT using the vertical angles theorem Will Give Brainlist class=

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sqdancefan
sqdancefan sqdancefan
  • 17-03-2022

Explanation:

Statement . . . . Reason

1. ∠1 and ∠2 are a linear pair; ∠2 and ∠4 are a linear pair . . . . given

2. ∠1+∠2 = 180°, ∠2+∠4 = 180° . . . . definition of linear pair

3. ∠1+∠2 = ∠4+∠2 . . . . substitution property of equality

4. ∠1 = ∠4 . . . . subtraction property of equality

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In words: angles supplementary to the same angle are congruent.

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