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What type of angle does a right triangle have?

  1. An angle greater than 180 degrees

  2. An angle that measures exactly 90 degrees

  3. An angle that measures 60 degrees

  4. Two equal angles

The correct answer is: An angle that measures exactly 90 degrees

A right triangle is defined by its characteristic of having one angle that measures exactly 90 degrees. This is the defining feature that distinguishes a right triangle from other types of triangles. In geometry, the right angle is crucial because it establishes the relationship among the sides of the triangle, particularly in right triangle trigonometry. The presence of this 90-degree angle allows for the application of the Pythagorean theorem and other geometric principles that are specific to right triangles, making this answer the correct choice. The other options do not correspond to the properties of a right triangle: angles greater than 180 degrees do not exist within triangles, a 60-degree angle indicates an equilateral triangle, and two equal angles would suggest an isosceles triangle rather than a right triangle.