Respuesta :

Answer:

C

Step-by-step explanation:

We know that ∠ 1 + ∠ 2 + ∠3 = 180 → (1)

and ∠ 3 + ∠ 4 = 180 → (2)

From (2) ∠ 3 = 180 - ∠ 4

Substitute ∠ 3 = 180 - ∠ 4 into (1)

∠ 1 + ∠ 2 + 180 - ∠ 4 = 180 ( add ∠ 4 to both sides )

∠ 1 + ∠ 2 + 180 = 180 + ∠ 4 ( subtract 180 from both sides )

∠ 1 + ∠ 2 = ∠ 4 → C

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