The Total solution for NCERT class 6-12
The angles ofquadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of thequadrilateral.
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°