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The triangle angle sum theorem states that the sum of the measures of the three angles in a triangle is always 180 degrees.
Let the measure of the third angle be x.
According to the triangle angle sum theorem, we can write the equation:
120 + 34 + x = 180
Simplifying the equation, we have:
154 + x = 180
Subtracting 154 from both sides, we get:
x = 180 - 154
x = 26
Therefore, the measure of the third angle is 26 degrees.