The question asks: What is the reference angle for an angle with measure 104°?

Step-by-Step Solution:

1. Definition of a Reference Angle: The reference angle is the acute angle formed between the terminal side of the given angle and the x-axis. It is always a positive angle between $0^\circ$ and $90^\circ$.

2. Angle Position:

   • $104^\circ$ lies in the second quadrant because it is between $90^\circ$ and $180^\circ$.

3. Finding the Reference Angle:

   • In the second quadrant, the reference angle is calculated as: $\text{Reference Angle} = 180^\circ - \text{Given Angle}.$
   • Substituting $104^\circ$: $\text{Reference Angle} = 180^\circ - 104^\circ = 76^\circ.$

4. Conclusion: The reference angle is 76°.

Correct Answer:

76°

Would you like further explanation or details about reference angles?

Related Questions:

1. What is the reference angle for $260^\circ$?
2. Can reference angles ever be negative?
3. How do you calculate reference angles for angles in the third and fourth quadrants?
4. What are the reference angles for $45^\circ$, $120^\circ$, and $315^\circ$?
5. What is the purpose of reference angles in trigonometry?

Tip:

Always check which quadrant the angle is in before calculating the reference angle—each quadrant has a unique formula!