Answer
(a) Refer to the drawing of the angle in the attached image below.
(b) $\dfrac{3}{4}\pi$ radians
(c) reference angle = $\color{blue}{45^o=\dfrac{\pi}{4}}$ radians.
Work Step by Step
(a) From the positive x-axis, move 135 degrees counter clockwise. (refer to the attached image above for the drawing)
(b) Convert to radians by multiplying $\dfrac{\pi}{180^o}$ to obtain:
$135^o \cdot \dfrac{\pi}{180^o} = \dfrac{3}{4}\pi$ radians
(c) The angle is in Quadrant II. The reference angle of an angle $\theta$ in Quadrant I can be found using the formula
$=180^o- \theta$.
Thus, the reference angle of the given angle is:
$180^0-135^0 = \color{blue}{45^o=\dfrac{\pi}{4}}$ radians.
