Answer:
θ = 150°, 210°
Explanation:
Given:

We know from trigonometric values of special angles that :

and that 30° is in Quadrant I.
Therefore:


Cosine is negative In Quadrants II and III. Therefore, use the above table to find the reference angles of 30° that make the cosine of the angle negative:

and:

Therefore, θ = 150° ± 360°n, -150° ± 360°n.
So the measure of θ in the given interval is 150° and 210°.