Question

find the reference angle for the angle 143°. the reference angle is °. (type an integer or a decimal.)

Explanation:

Step1: Determine the quadrant

The angle $143^{\circ}$ is in the second - quadrant since $90^{\circ}<143^{\circ}<180^{\circ}$.

Step2: Calculate the reference angle

For an angle $\theta$ in the second - quadrant, the reference angle $\theta_{r}=180^{\circ}-\theta$. So, $\theta_{r}=180 - 143$.
$180-143 = 37$

Answer:

$37$