The angle a vector makes with the x-axis of a coordinate system must be what size in order to make one or more of its components negative?

less than 30 degrees

between 30 and 60 degrees

between 61 and 90 degrees

greater than 90 degrees

It should be greater than 90°.

The components of a vector of magnitude 'V' making angle θ with the x-axis are given by,

Horizontal/x component = VCosθ

Vertical/y component = VSinθ

For for any value of θ≥90°, either of or both the component is negative.