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

- 30
^{o} - 90
^{o} - 120
^{o} - 60
^{o}

**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.