This question was previously asked in

Territorial Army Paper I : Official Practice Test Paper - 2

Option 2 : 60°

**Concept used**

Complimentary angle : Sum of two angles = 90°

Supplementary angle : Sum of two angles = 180°

**Calculation**

Let the angle be x

Compliment of x = 90° - x

Supplement of x = 180° - x

As per the question

(90 - x) = 1/4(180 - x)

360 - 4x = 180 - x

180 = 3x

x = 60°