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Exercise 8.1 1st question

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Exercise 8.1 1st question

    • Posted by Varun Dharne 5 years, 3 months ago

    CBSE > Class 09 > Mathematics
    • 2 answers

    Aliza Taufiq 5 years, 3 months ago

    1. The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral. Solution: Let the common ratio between the angles be = x. We know that the sum of the interior angles of the quadrilateral = 360° Now, 3x+5x+9x+13x = 360° ⇒ 30x = 360° ⇒ x = 12° , Angles of the quadrilateral are: 3x = 3×12° = 36° 5x = 5×12° = 60° 9x = 9×12° = 108° 13x = 13×12° = 156°

    0Thank You

    Gaurav Seth 5 years, 3 months ago

    1. The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.

    Solution:

    Let the common ratio between the angles be = x.

    We know that the sum of the interior angles of the quadrilateral = 360°

    Now,

    3x+5x+9x+13x = 360°

    ⇒ 30x = 360°

    ⇒ x = 12°

    , Angles of the quadrilateral are:

    3x = 3×12° = 36°

    5x = 5×12° = 60°

    9x = 9×12° = 108°

    13x = 13×12° = 156°

    1Thank You

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