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26-09-2016
Mathematics

contestada

a(n) _______ angle of a triangle is equal to the sum of the two remote interior angles. exterior interior complementary vertical

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HomertheGenius HomertheGenius

06-10-2016

∠A, ∠B, ∠C - interior angles of a triangle.
∠A 1 , ∠B 1 , ∠C 1 - exterior angles of a triangle.
∠A + ∠B + ∠C = 180°
∠A + ∠A 1 = 180°
Therefore: ∠A 1 = ∠B + ∠C ( two remote interior angles )
Answer:
An exterior angle of a triangle is equal to the sum of the two remote interior angles.

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