Find the reference angle of the angle. \( -110^{\circ} \) The reference angle for \( -110^{\circ} \) is

To find the reference angle for \( -110^{\circ} \), first convert the negative angle to a positive angle by adding \( 360^{\circ} \). So, \( -110^{\circ} + 360^{\circ} = 250^{\circ} \). The reference angle is the angle between the terminal side of \( 250^{\circ} \) and the x-axis, calculated as \( 250^{\circ} - 180^{\circ} = 70^{\circ} \). Thus, the reference angle for \( -110^{\circ} \) is \( 70^{\circ} \). Exploring angles in real life? You might notice that reference angles are particularly helpful in fields like architecture or engineering! They help with understanding the orientation and relationships between structures and their designs. If you're sketching angles, remember that confusion often arises when adding or subtracting \( 360^{\circ} \). One common mistake is overlooking the quadrant in which the angle lies after conversion, which can lead to incorrect reference angle calculations. Always double-check which quadrant you are working in!