Answer :
Final answer:
To find the possible values of angle U in triangle STU, subtract angle T from 180 to find the total of the other two angles. Subtract angle S from the total to find angle U. The possible values of angle U are between 68 and (180 - x), where x is any value between 0 and 180 degrees.
Explanation:
To find the possible values of angle U in triangle STU, we can use the fact that the sum of the angles in a triangle is equal to 180 degrees. We know that angle T is 112 degrees, so we can subtract that from 180 to find the total of the other two angles. Subtracting 112 from 180 gives us 68 degrees. Since angle S is not given, we can denote it as angle S = x. Angle U can be found by subtracting angle S from the total of the other two angles, so U = 68 - x.
To find the possible values of angle U, we need to consider the range of values for angle S. The given information does not provide any constraints on angle S, so it could be any angle between 0 and 180 degrees. Therefore, the possible values of angle U are all the values between 68 and (180 - x), where x is any value between 0 and 180 degrees.
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