Question

find the reference angle of the angle. - 100° the reference angle for - 100° is °.

Explanation:

Step1: Make the angle positive

Add 360° to - 100°. So, -100°+360° = 260°.

Step2: Determine the quadrant

260° lies in the third - quadrant (180° < 260° < 270°).

Step3: Calculate the reference angle

For an angle $\theta$ in the third - quadrant, the reference angle $\theta_{r}=\theta - 180^{\circ}$. So, $\theta_{r}=260^{\circ}-180^{\circ}=80^{\circ}$.

Answer:

80