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As long as the angle measure is greater than 0 degrees, the angle can be infinitely small. There is no real "smallest possible angle", as any number has a number that is smaller than it while still larger than 0.

ANS2:The smallest whole number angle would be 1 degree. The opposite angle would be 89 degrees.

You could, of course have smaller numbers--less than 1 degree as noted in the first answer. so long as the two opposites add to 90. All of the interior angles of any triangle add to 180 degrees.

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