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If a triangle has angles measuring 45, 45, and x degrees, what is the value of x?

  1. 45 degrees

  2. 90 degrees

  3. 60 degrees

  4. 30 degrees

The correct answer is: 90 degrees

In any triangle, the sum of the interior angles is always 180 degrees. To find the value of x in the given triangle with angles measuring 45, 45, and x degrees, you can set up the equation based on the angle sum property: 45 + 45 + x = 180 Combining the known angles gives: 90 + x = 180 To find x, subtract 90 from both sides: x = 180 - 90 x = 90 Thus, the measurement of angle x in this triangle is 90 degrees. This confirms that the triangle is a right triangle, characterized by one angle measuring 90 degrees, which is consistent with the other two angles being equal and measuring 45 degrees each. This layout corresponds to a special type of triangle known as an isosceles right triangle.