Answer
a. $150^\circ$.
b. See figure.
c. $30^\circ$
Work Step by Step
a. Given the angle $510^\circ=360^\circ+150^\circ$, we see that the positive angle that is less than $ 360^{\circ}$ and is co-terminal with the given angle is $150^\circ$.
b. See figure.
c. The reference angle can be found as $180^\circ-150^\circ=30^\circ$ (angle with respect to the x-axis)