Question
Identify the combination of angle measures that could form a triangle.(1 point)
Responses
25°, 65°, and 90°
25°, 65°, and 90°
30°, 75°, and 85°
30°, 75°, and 85°
30°, 75°, and 85°
30°, 75°, and 85°
45°, 65°, and 75°
45°, 65°, and 75°
Responses
25°, 65°, and 90°
25°, 65°, and 90°
30°, 75°, and 85°
30°, 75°, and 85°
30°, 75°, and 85°
30°, 75°, and 85°
45°, 65°, and 75°
45°, 65°, and 75°
Answers
GPT-4o mini
To determine if a combination of angles can form a triangle, we need to ensure that the sum of the angles equals 180 degrees.
Let's check each combination:
1. **25°, 65°, and 90°**
Sum = 25 + 65 + 90 = 180°
This combination can form a triangle.
2. **30°, 75°, and 85°**
Sum = 30 + 75 + 85 = 190°
This combination cannot form a triangle.
3. **30°, 75°, and 85°** (repeated)
Sum = 30 + 75 + 85 = 190°
This combination cannot form a triangle.
4. **45°, 65°, and 75°**
Sum = 45 + 65 + 75 = 185°
This combination cannot form a triangle.
From the above checks, the only combination that can form a triangle is **25°, 65°, and 90°**.
Let's check each combination:
1. **25°, 65°, and 90°**
Sum = 25 + 65 + 90 = 180°
This combination can form a triangle.
2. **30°, 75°, and 85°**
Sum = 30 + 75 + 85 = 190°
This combination cannot form a triangle.
3. **30°, 75°, and 85°** (repeated)
Sum = 30 + 75 + 85 = 190°
This combination cannot form a triangle.
4. **45°, 65°, and 75°**
Sum = 45 + 65 + 75 = 185°
This combination cannot form a triangle.
From the above checks, the only combination that can form a triangle is **25°, 65°, and 90°**.