Question

find the reference angle for the angle 319°. the reference angle is °. (type an integer or a decimal.)

Explanation:

Step1: Identify the quadrant

The angle $319^{\circ}$ is in the fourth - quadrant since $270^{\circ}<319^{\circ}<360^{\circ}$.

Step2: Calculate the reference angle

For an angle $\theta$ in the fourth - quadrant, the reference angle $\theta_{r}=360^{\circ}-\theta$. Here, $\theta = 319^{\circ}$, so $\theta_{r}=360^{\circ}-319^{\circ}$.
$360 - 319=41$

Answer:

$41$