what is the reference angle of 850

Question

find the measure of th reference angl for each angle

Answer 1

The reference angle is always between 0 and 90°, so 850° has to be reduced by subtracting 360° until it's less than 360°. 850-2×360=850-720=130°. Now we need to find the horizontal acute angle corresponding to this. The reference angle is 180-130=50°.

Answer 2

1. 0° to 90°: reference angle = angle ,
2. 90° to 180°: reference angle = 180° - angle ,
3. 180° to 270°: reference angle = angle - 180° ,
4. 270° to 360°: reference angle = 360° - angle .