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In a quadrilateral, the angles are in the ratio 1 : 2 : 3 : 4. What is the value of largest angle?
  • a)
    108°
  • b)
    144°
  • c)
    136°
  • d)
    124° 
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a quadrilateral, the angles are in the ratio 1 : 2 : 3 : 4. What is...
B)144

Let the four angles be 1x, 2x, 3x, and 4x respectively.

Since the sum of angles in a quadrilateral is 360 degrees, we have:

1x + 2x + 3x + 4x = 360
10x = 360
x = 36

Therefore, the largest angle is 4x = 4(36) = 144 degrees.
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Community Answer
In a quadrilateral, the angles are in the ratio 1 : 2 : 3 : 4. What is...
Let the angles of the quadrilateral be x° , 2x°, 3x° and 4x°.
∵ Sum of the angles of quadrilateral = 360°
⇒ x + 2x + 3x + 4x = 360°
⇒10x = 360°
⇒ x = 36°
∵ Measure of largest angle
= 4 x x = 1 = 4 x 36° = 144°
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In a quadrilateral, the angles are in the ratio 1 : 2 : 3 : 4. What is the value of largest angle?a)108°b)144°c)136°d)124°Correct answer is option 'B'. Can you explain this answer?
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