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vertical angles are congruent given angle 1 and angle 2 are vertical angle prove ∠ 1 ≅ ∠ 2

Sagot :

∡1 and ∡2 are congruent. If ∡3 is 68°; ∡1 = 112° (180° - 68°); ∡4 = 68° (∡3 and ∡4 are vertical angles, therefore, they are congruent, also, 180° - 112° =68°);∡2 = 112° (∡1 and ∡2 are vertical angles, therefore, they are congruent, also, 180° - 68° = 112°)

∡3 and ∡1 are linear pair; ∡3 and ∡2 are linear pair.
∡4 and ∡1 are linear pair; ∡4 and ∡2 are linear pair.
∡3 and ∡4 are vertical angles therefore, they are congruent.
∡1 and ∡2 are vertical angles therefore, they are congruent.
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