To find the angles that are coterminal with a 145-degree angle, we must understand that two angles are coterminal if they differ by a multiple of 360 degrees. This means that if we add or subtract 360 degrees from a given angle, we will arrive at a coterminal angle.
Here’s how to find some of the angles that are coterminal with 145 degrees:
- Finding Positive Coterminal Angles:
- 145° + 360° = 505°
- 145° + 2(360°) = 865°
- You can continue adding 360° to get more positive angles.
- Finding Negative Coterminal Angles:
- 145° – 360° = -215°
- 145° – 2(360°) = -575°
- Subtracting 360° each time will yield additional negative angles.
In summary, the angles coterminal with a 145-degree angle include:
- 505°
- 865°
- -215°
- -575°
- And so on…
You can generate an infinite number of coterminal angles by continuing to add or subtract multiples of 360 degrees. So, if you ever need to determine other coterminal angles, just keep adding or subtracting 360!