If the complement of an angle is one–fourth of its supplementary

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If the complement of an angle is one–fourth of its supplementary angle, then the angle is

1. 60°
2. 30°
3. 90°
4. 120°

Correct Option: A

Let the required angle be y°.
According to the question,

90 – y =	1	(180 - y)
	4

⇒ 360 – 4y = 180 – y
⇒ 4y – y = 360 – 180
⇒ 3y = 180 ⇒ y = 60°