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In a quadrilateral, the angles are in the ratio 3 : 4 : 5 : 6. Then the difference between the greatest and the smallest angle is:
  • a)
    60°
  • b)
    54°
  • c)
    40°
  • d)
    45°
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In a quadrilateral, the angles are in the ratio 3 : 4 : 5 : 6. Then th...
Let the all angles of quadrilateral be 3x,4x,5x,6x.
sum of all angles of quadrilateral = 360
3x + 4x + 5x + 6x = 360
18x = 360
x = 360÷18
x = 20

Angles of triangle will be -
3x = 3*20 = 60
4x = 4*20 = 80
5x = 5*20 = 100
6x = 6*20 = 120

The greatest angle = 120
The smallest angle = 60
So, the difference between the greatest and smallest angle = 120-60
= 60....
Free Test
Community Answer
In a quadrilateral, the angles are in the ratio 3 : 4 : 5 : 6. Then th...
We know that ,
The sum of all the angles of a quadrilateral is 360 degree .
Let ,
The angles be 3x , 4x , 5x , 6x .
According to the question ,
3x + 4x + 5x + 6x = 360
=> 18x = 360
=> x = 360÷18
=> x = 20
So , the angles of the quadrilateral are
3 × 20 = 60 degree
4 × 20 = 80 degree
5 × 20 = 100 degree
6 × 20 = 120 degree
Now ,
The greatest angle is 120 degree
The smallest angle is 60 degree
So , their difference is (120 - 60)degree
= 60 degree
Ans :- 60 degree
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In a quadrilateral, the angles are in the ratio 3 : 4 : 5 : 6. Then the difference between the greatest and the smallest angle is:a)60°b)54°c)40°d)45°Correct answer is option 'A'. Can you explain this answer?
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