How will you construct a 150° angle?
Take a line segment, say, AB.
Choose a point C on it.
With center C, and radius BC, draw an arc.
With center B and radius BC, cut the previous arc at say DD.
With center D, and radius BC draw an arc.
With center B and radius BC, cut this arc at, say, EE.
Then EC is the bisector of ∠BCD, and
Hence,
Then,