If the compliment of an angle is one-fourth of its supplementary angle, then the angle is :

  1. 30o
  2. 90o
  3. 120o
  4. 60o
Anurag Mishra Professor Asked on 29th December 2015 in Maths.
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1 Answer(s)

Answer is 60 degree

Explanation:-
Let the angle be X
Therefore, its complement = 90 – X  & supplement = 180 – X

If the compliment of an angle is one-fourth of its supplementary angle. 
Then,  90 – X = (180 – X)/4
By cross multiplication, 
4 (90 – X)  = 180 – X
360 – 4 X = 180 – X
4 X – X = 360 – 180 
3 X = 180 
X = 180/3
X = 60 degree

Then, the value of angle is 60 degree. 

Hence, the correct answer is option (4) 60 degree. 

Monis Rasool Professor Answered on 29th December 2015.
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