If the angles of a triangle are in the ratio of 4: 3: 2, then the triangle

To solve this, we use the property that the sum of all angles in a triangle is 180 degrees. The angles are in the ratio 4:3:2. Let the angles be 4x, 3x, and 2x. Adding them together: 4x plus 3x plus 2x equals 180. This simplifies to 9x equals 180. Dividing both sides by 9 gives x equals 20. Now, calculate each angle: The first angle is 4 times 20, which is 80 degrees. The second angle is 3 times 20, which is 60 degrees. The third angle is 2 times 20, which is 40 degrees. Since all three angles (80, 60, and 40) are less than 90 degrees, the triangle is acute. Therefore, option D is correct. Option B is incorrect because no angle is greater than 80 degrees.