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Angles of a triangle in a given ratio: find an angle or a difference

This type of question, asked 4 times: 25 Jul 2023 S2, 12 Sep 2024 S1, 24 Sep 2024 S3, 26 Sep 2024 S1. All 4 questions below, oldest first.

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  1. Question 1

    25 Jul 2023 S2

    54
    The angles of a triangle are in the ratio 2 : 3 : 7. What is the measure of the largest angle of the triangle?

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  2. Question 2

    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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  3. Question 3

    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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  4. Question 4

    26 Sep 2024 S1

    69
    If the angles of a triangle are in the ratio 7:8:37 : 8 : 3, then the value of the largest angle is:

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