Answer:
30°
Step-by-step explanation:
Angles and Quadrants:
- 0° to 90° -- Quadrant 1
- 90° to 180° -- Quadrant 2
- 180° to 270° -- Quadrant 3
- 270° to 360° -- Quadrant 4
Formula for Reference Angle in each Quadrant:
[tex]\theta[/tex] is the angle given
- Quadrant 1 -- Reference Angle = [tex]\theta[/tex]
- Quadrant 2 -- Reference Angle = [tex]180-\theta[/tex]
- Quadrant 3 -- Reference Angle = [tex]\theta - 180[/tex]
- Quadrant 4 -- Refence Angle = [tex]360-\theta[/tex]
Angle given is 150°, which according to first table, falls in Quadrant 2.
According to second table, the reference angle is found by subtracting 150° from 180°.
Reference Angle = 180° - 150° = 30°
