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Can the angles 115.1 degrees, 47.5 degrees, and 93 degrees form a triangle

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Final answer:

The angles 115.1 degrees, 47.5 degrees, and 93 degrees cannot form a triangle because their sum is 255.6 degrees, which is greater than the required 180 degrees for a triangle.

Step-by-step explanation:

The question asks whether the angles 115.1 degrees, 47.5 degrees, and 93 degrees can form a triangle. To determine this, we add up the angles and see if they equal 180 degrees, because the sum of the angles in any triangle must be exactly 180 degrees according to the properties of triangles.

In this case:

  • 115.1 degrees + 47.5 degrees + 93 degrees = 255.6 degrees.

Since the sum is not 180 degrees, these angles cannot form a triangle. The sum exceeds the necessary 180 degrees by 75.6 degrees, indicating that there is an error and these angles do not fit the triangle angle sum theorem.

User Alan Jay Weiner
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