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Angles of a triangle in a given ratio: difference of greatest and smallest

The same question, asked 2 times: 12 Sep 2024 S1*, 24 Sep 2024 S3. Every wording below, oldest first.

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  1. Question 1

    12 Sep 2024 S1

    53
    The measures of the three angles of a triangle are in the ratio 17:13:1517 : 13 : 15. Find the positive difference between the greatest and the smallest of these three angles.

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  2. Question 2

    24 Sep 2024 S3

    53
    The angles of a triangle are in the ratio 1 : 2 : 3. The difference in the largest and smallest angle is (in degrees):

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