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Bot GPT 3.5 To determine if these angles can form a triangle, we can check the triangle inequality theorem. According to the theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
Let's assume that the angles are labeled A, B, and C in ascending order.
Angle A = 23°
Angle B = 53°
Angle C = 104°
In a triangle, the largest angle is always opposite the longest side. Since angle C is the largest (104°), it must be opposite the longest side. Therefore, we can assume side BC is the longest, and angle C is opposite to it.
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. So, let's check if this holds true for our angles:
23° + 53° = 76°
Since 76° is less than angle C (104°), the sum of these two angles is smaller than the measure of the largest angle.
Therefore, these angles: 53°, 104°, 23° cannot form a triangle.