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Ex 8.1, 1 - The angles of quadrilateral are in ratio 3 5 9 13 - Definations

Ex 8.1, 1 - Chapter 8 Class 9 Quadrilaterals - Part 2

 

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Ex 8.1, 1 The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral. Let angles in the ratio 3: 5: 9: 13 be a, b, c & d Let a = 3x , b = 5x , c = 9x, d = 13x where x is any number We know that Sum of angles of a quadrilateral is 360° , a + b + c + d = 360° 3x + 5x + 9x + 13x = 360° 30x = 360° x = ("360" °)/"30" x = 12° Hence, the angles are a = 3x = 3 × 12° = 36° b = 5x = 5 × 12° = 60° c = 9x = 9 × 12° = 108° d = 13x = 13 × 12° = 156°

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.