In a right-angled triangle, the ratio of angles other than right angle is 3 : 2. What are the measure of the angles?​

Question

In a right-angled triangle, the ratio of angles other than right angle is 3 : 2. What are the measure
of the angles?​

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Madeline 1 year 2021-08-16T13:34:34+00:00 1 Answer 0 views 0

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    2021-08-16T13:36:02+00:00

    angle 1 = 90°

    angle 2 : angle 3 = 3 : 2

    let the constant ratios be x

    angle 2 = 3x

    angle 3 = 2x

    sum of all angles of triangle = 180°

    90° + 3x + 2x = 180°

    90° + 5x = 180°

    5x = 180° – 90°

    5x = 90°

    x = 90/5 = 18°

    angle 2 = 3x = 3 × 18 = 54°

    angle 3 = 2x = 2 × 18 = 36°

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