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An acute triangle with angles measuring 60, 62, and 58.

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It is possible to have an acute triangle whose angle measurements are 60, 62 and 58 degrees. With an acute triangle, all the 3 internal angles should be less than 90 degrees. In case 1 or more of the angles is 90 degrees or more, it is not an acute triangle. Check out http://www.mathopenref.com/acutetriangle.html.

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If the sum of the angles is 180, it's possible.

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