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The measures of the angles of ABC are in the ratio 1:4:5. What are the measures of the angles?

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Answer: The measures of the interior angles of a triangle have sum 180°. Since the measures of the angles are in the ratio 1:4:5, we can call them 1x, 4x, and 5x, for some positive integer, x. The measures of the angles are 18°, 72°, and 90°

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