Question

After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

Answer 1

It can be observed that if a figure looks symmetrical on rotating by $60º$, then it will also look symmetrical on rotating by $120º, 180º, 240º, 300º$, and $360º$ i.e., further multiples of $60º$.