Question

find the reference angle for 228°.

Explanation:

Step1: Identify quadrant

The angle $228^{\circ}$ lies in the third - quadrant since $180^{\circ}<228^{\circ}<270^{\circ}$.

Step2: Calculate reference angle

For an angle $\theta$ in the third - quadrant, the reference angle $\theta_{r}=\theta - 180^{\circ}$. So, $\theta_{r}=228^{\circ}-180^{\circ}=48^{\circ}$.

Answer:

$48$