# The ratio of the angle measures in a triangle is 11:14:20. How do you find the angle measures. Then classify the triangle by its angle measures?

Acute triangle.

Angle measures would be 44, 56 and 80 degrees.

For the given ratio of angles, let the angles be 11x, 14x and 20x. The sum of the angles would be 11x+14x+20x = 45x = 180. This gives x= 4,

The angles would thus be 44, 56 and 80 degrees.

Since all angle measures are acute, the triangle would be Acute triangle.

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To find the angle measures of the triangle, you first need to determine the total ratio. Then, divide the total ratio by the sum of its parts, which is 11 + 14 + 20 = 45. This gives you the proportion of each part of the ratio. Finally, multiply each proportion by 180° to find the corresponding angle measure.

Using the given ratio of 11:14:20, the total ratio is 11 + 14 + 20 = 45.

Now, calculate the proportions:

- For the first angle: (11/45) * 180° = 396°
- For the second angle: (14/45) * 180° = 560°
- For the third angle: (20/45) * 180° = 800°

Since the sum of angles in a triangle is always 180°, these angle measures are not possible, indicating that the given ratio does not correspond to the angles of a valid triangle.

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