Rotational symmetry means that you can spin the figure 180^(∘) or less so that it maps onto itself.
Yes, 72^(∘) and 144^(∘)
Practice makes perfect
If we draw segments from the vertices of the regular pentagon and to the middle, we create five congruent angles.
Since a circle is 360^(∘), we know that each angle has to be
360^(∘)/5=72^(∘).
Therefore, if we rotate the pentagon by 72^(∘), it will map onto itself.
The same is true for 144^(∘) as it is a multiple of 72.
