The circumference of the circle is $2\pi r = 2\pi(5) = 10\pi$. Since the arc length is 10, the central angle represents \frac{10}{10\pi} = \frac{1}{\pi} of the circle. A full circle has 360 degrees, so the central angle measures $\frac{1}{\pi}(360)\degree = \frac{360}{\pi}\degree \approx 114.6\degree$. Of the answer choices, 72 degrees is closest to this value.