The ratio between the three angles of a quadrilateral is 13 : 9 : 5 respectively. The value of the fourth angle of the quadrilateral is 36 degree. What is the difference between the largest and the second smallest angles of the quadrilateral?
option
(A) 104 degree
(B) 108 degree
(C) 72 degree
(D) 96 degree
(E) None of these

• I think ans. is 96 degree.
  1st of all 360-36 = 324
  so, 324 / (13+9+5) = 324 / 27 = 12
  angle are 156 , 108 , 60 , 36
  difference is 156 - 60 = 96 degree
• 8 years agoHelpfull: Yes(2) No(0)
• let x be the angle,then 13x+9x+5x+36=360
  27x=360-36
  27x=324
  x=324/27
  x=12
  13(12)+9(12)+5(12)+36=360
  now,the largest and the smallest difference is 120
  therefore the right choice is(E)
• 10 years agoHelpfull: Yes(0) No(0)