1.5 Geometry

Given a triangle \( \triangle ABC \), with \( D \) a point on the line containing \( BC \) such that \( C \) is between \( B \) and \( D \). Prove that the measure of the exterior angle \( \angle ACD \) is equal to the sum of the measures of the two opposite interior angles, \( \angle BAC + \angle ABC \).

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