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An engineer wants to position three pipes at the vertices of a triangle as shown in the figure to the right. If the pipes have

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An engineer wants to position three pipes at the vertices of a triangle as shown in the figure to the right. If the pipes have radii 5.4 in., 4.4 in., and 2.7 in., then what are the measures of the angles of triangle ABC? A =, B=., and C = (Do not round until the final answer. Then round to the nearest degree as needed.)

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