Answer:
1. -670 degrees
2. 755 degrees
3. -690 degrees
4. -325 degrees
Step-by-step explanation:
First you need to know which direction it is going. Clockwise direction = - (negative angle) angle and counter-clockwise direction is a + (positive angle)
1. It is going clockwise so the angle will be negative. It makes one full -360 degree rotation then makes three -90 degree rotations and a final -40 degree angle.
-360 - 90 - 90 -90 -40 = -670
2. It is going clockwise so the angle is positive. It makes one full 360 degree rotation then four 90 degree rotations. In order to find the last rotation you must subtract 90 - 55 to get 35. 35 degree is the space that is not marked that you need to find.
360 + 90 + 90 + 90 + 90 + 35 = 755 degrees
3. It is going clockwise so the angle will be negative. It makes one -360 degree rotation then three -90 degree rotations. Just like question 2 you must subtract 90-30 to find the missing angle. 90-30 = -60 (it is negative because you're going clockwise)
-360 - 90 - 90 - 90 - 60 = -690
4. It is going clockwise so the angle is negative. It makes three -90 degree rotations. Then a -55 degree rotation.
-90 -90 -90 -55 = -325
