To find angles that are coterminal with a 145° angle, we need to add or subtract full rotations (360°) from 145°. Coterminal angles are angles that share the same terminal side when drawn in standard position.
Here’s how you can calculate coterminal angles:
- Start with the original angle: 145°
- Add or subtract 360° as many times as needed.
For example:
- 145° + 360° = 505°
- 145° – 360° = -215°
So, angles like 505° and -215° are coterminal with 145°. You can keep adding or subtracting 360° to find more coterminal angles. Thus, any angle of the form:
145° + 360°k, where k is any integer, will yield an angle coterminal with 145°.
In summary, remember that to find coterminal angles, simply keep adding or subtracting 360°, and you can find infinitely many angles that share the same position as 145°!