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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)
    108°
  • b)
    60°
  • c)
    180°
  • d)
    360°
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a quadrilateral the angles are in the ratio 3 : 4 : 5 : 6. Then the...
Let the angles in the quadrilateral be 3x, 4x, 5x, and 6x.

The sum of the angles in a quadrilateral is 360 degrees.

Therefore, we have the equation: 3x + 4x + 5x + 6x = 360.

Combining like terms, we get 18x = 360.

Dividing both sides by 18, we get x = 20.

Therefore, the angles in the quadrilateral are 60 degrees, 80 degrees, 100 degrees, and 120 degrees.

The difference between the greatest and smallest angle is 120 - 60 = <120-60=60>>60 degrees.

Therefore, the answer is b) 60.
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Community Answer
In a quadrilateral the angles are in the ratio 3 : 4 : 5 : 6. Then the...
Let the angles be 3x, 4x, 5x and 6x.
We have 3x + 4x + 5x + 6x = 360°
[sum of angles of a quadrilateral is equal to 360°]
18x = 360°
x = 20°
Difference between greatest and smallest angles = 6x – 3x = 3x = 3 × 20° = 60°.
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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 isa)108°b)60°c)180°d)360°Correct answer is option 'B'. Can you explain this answer?
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