# How do you sketch the angle 285^circ and find its reference angle?

May 6, 2018

color(blue)(alpha = 360 - 285 = 75^@ " or " (5pi)/12^c, " in IV Quadrant"#

#### Explanation:

Find the reference angle for 285 degrees:

Determine the quadrant in which the terminal side lies. A 285-degree angle is between 270 and 360 degrees, so the terminal side is in Q IV
.
Do the operation indicated for that quadrant. Subtract 285 degrees from the angle, which is 360 degrees.

$\alpha = 360 - 285 = {75}^{\circ} \text{ or } \frac{5 \pi}{12} ^ c$