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Which angle measurement is associated with a right angle triangle?

  1. 45 degrees

  2. 90 degrees

  3. 180 degrees

  4. 30 degrees

The correct answer is: 90 degrees

A right triangle is defined by having one angle that measures exactly 90 degrees. This is a fundamental property of right triangles, distinguishing them from other types of triangles. In a right triangle, the 90-degree angle is often referred to as the right angle, and the other two angles must add up to another 90 degrees, as the sum of angles in any triangle is always 180 degrees. The other angle measurements provided—45 degrees, 180 degrees, and 30 degrees—are not characteristics of right angles. While a right triangle can have one of the other angles measure 45 degrees (making it an isosceles right triangle) or 30 degrees (as seen in a 30-60-90 triangle), the defining angle measurement that classifies a triangle as a right triangle is specifically 90 degrees. Hence, the correct answer is associated directly with the definition of the triangle itself.