How many unit angles does the smaller angle of a small pattern block turn 30degrees

Answer 1

To determine how many unit angles a smaller angle of a small pattern block turns when it turns 30 degrees, we first need to define what we mean by a "unit angle."

A unit angle is often defined in terms of a full circle, which is 360 degrees. If we take a full revolution of 360 degrees to represent $1$ unit angle, then:

• $30$ degrees can be expressed as a fraction of $360$ degrees.

$$\text{Number of unit angles}=\frac{30}{360}=\frac{1}{12}$$

Therefore, when the smaller angle of a small pattern block turns $30$ degrees, it turns $\frac{1}{12}$ of a unit angle.