Given data:
The given angle of the polygon is 60 degrees.
The expression for the angle of the regular polygon is,
[tex]\begin{gathered} \frac{(n-2)180^{\circ}}{n}=60^{\circ} \\ \\ 180n-360=60n \\ 120n=360 \\ n=3 \end{gathered}[/tex]Thus, the number of sides are 3.