Problem 752

Solution:

A regular dodecagon can be divided into $10$ triangles, as shown above. The sum of the angles in each triangle is $180^{\circ}$, so the sum of the angles in the dodecagon is $10 \cdot 180^{\circ} = 1800^{\circ}$. Since it is regular, all the angles are the same, so we divide by $12$ to get $1800^{\circ} / 12 = 150^{\circ}$ for each angle.