1.

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

Answer»

Given the ratio between the angles of the quadrilateral = 3 : 5 : 9 : 13 and 3 + 5 + 9 + 13 = 30 

Since, the sum of the angles of the quadrilateral = 3600 

∴ First angle of it = 3/30 × 3600 = 360 , 

 Second angle = 5/30 × 3600 = 600 , 

 Third angle = 9/30 × 3600 = 1080 , 

 And, Fourth angle = 13/30 × 3600 = 1560 

∴ The angles of quadrilateral are 3600 , 600 , 1080 and 1560 . 


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