prove the sum of all three angles in a triangle is 180°
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Knowing that the alternate interior angles are equal lets you substitute the angles of the triangle for the angles of the line. Thus we get, Angle ABC + angle BAC + angle ACB = 180°. In other words, in the triangle ABC, angle B + angle A + angle C = 180°. Thus, the sum of all the angles of a triangle is 180°
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