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The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13. What is the sum of largest and smallest angle of quadrilateral? 
  • a)
    168°
  • b)
    192°
  • c)
    144°
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13. What is...
Let the angles be 3x,5x,9x and 13x
∴ Sum of largest and smallest angle = 3x + 13x = 16x
A/Q,
3x + 5x + 9x + 13x = 360°
⇒ 30x = 360°  ⇒ x = 12
∴ 16x = 16 × 12° = 192°
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The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13. What is the sum of largest and smallest angle of quadrilateral?a)168°b)192°c)144°d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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