In a triangle, values of all the angles are integers (in degree measure). Which one of the following <strong>CANNOT</strong> be the proportion of their measures?
- A. 1:2:3
- B. 3:4:5
- C. 5:6:7
- D. 6:7:8 ✓
Correct Answer: D. 6:7:8
Explanation
The sum of the angles of a triangle is 180^\circ. For the angles to be integers, the sum of the ratio parts must perfectly divide 180. The sum of parts for 6:7:8 is 6+7+8 = 21. Since 180 is not divisible by 21, the angles would not be integers.
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