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The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral. |
Answer» Let the common ratio between the angles be x. Therefore, the angles will be 3x, 5x, 9x, and 13x respectively. As the sum of all interior angles of a quadrilateral is 360º, ∴ 3x + 5x + 9x + 13x = 360º 30x = 360º x = 12º Hence, the angles are 3x = 3 × 12 = 36º 5x = 5 × 12 = 60º 9x = 9 × 12 = 108º 13x = 13 × 12 = 156º |
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