How many 30° angle are there in 150 angle? Use repeated subtraction to solve. draw a picture to justify your solution.

1 answer

To find out how many 30° angles are in 150°, we can use repeated subtraction.

Starting with 150°, we will keep subtracting 30° until we reach 0°.

150° - 30° = 120°
120° - 30° = 90°
90° - 30° = 60°
60° - 30° = 30°
30° - 30° = 0°

After subtracting 30° five times, we reach 0°. Therefore, there are 5 angles of 30° in 150°.

Here is a picture to justify the solution:

```
30° 30° 30° 30° 30°
-----------------------------
| 30° | 30° | 30° | 30° | 30° |
-----------------------------
```