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The three angles of a triangle are in the ratio 13 : 11 : 16. What is the positive difference between the largest and the smallest angle?

1. 24 degrees
2. 20 degrees
3. 16 degrees
4. 12 degrees

Correct answer: 16 degrees

Solution

The original ratio 17:13:15 sums to 45 parts = 180 degrees, giving 4 degrees per part. Angles are 68 degrees, 52 degrees, 60 degrees. Difference = 68 - 52 = 16 degrees.

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