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The ratios are 3x , 5x , 9x , and 13x. sum of ratios = 30x

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Let the angles be 3x,5x,9x,13x Sum of all the angles of a quadrilateral=360° 3x+5x+9x+13x=360° 30x=360° x=360°/30=12° Therefore,the angles are 3(12°)=36°,5(12°)=60°,9(12°)=108°,13(12°)=156°