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What type of triangle has angles measuring 45 degrees, 60 degrees, and 75 degrees?

  1. Equilateral

  2. Isosceles

  3. Right

  4. Scalene

The correct answer is: Isosceles

Based on the given measurements, this triangle cannot be equilateral as all angles are not equal. It also cannot be a right triangle as there is not a right angle present, with only one angle measuring less than 90 degrees. A scalene triangle has all different side lengths and angles, so it is also not the correct answer in this case. The correct answer is an isosceles triangle, which has two equal angles and two equal side lengths. In this case, the angles measuring 45 degrees and 60 degrees are equal, making it an isosceles triangle.