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What is the measure of the third angle of a triangle if two angles measure 75 degrees and 35 degrees, respectively?

  1. 37 degrees

  2. 40 degrees

  3. 75 degrees

  4. 120 degrees

The correct answer is: 120 degrees

This is because the three angles of a triangle always add up to 180 degrees. In this case, the first two angles add up to 110 degrees, leaving 70 degrees for the third angle. Since the third angle is the missing piece to make the total of 180 degrees, it must equal the remaining amount, which is 70 degrees. Thus, the measure of the third angle is 70 degrees, which is option D. A 37 degrees is incorrect because it does not account for the other two angles in the triangle and does not add up to 180 degrees. B: 40 degrees is incorrect because it also does not account for the other two angles in the triangle and does not add up to 180 degrees. C: 75 degrees is incorrect because it is one of the given angles and the question is asking for the measure of the third