Exercise 11 Page 340

To find the order of the angle measures from smallest to largest, let's first analyze the given diagram.

According to the Triangle Longer Side Theorem, angles opposite the longer sides of a triangle are larger than angles opposite the shorter sides. Conversely, angles opposite the shorter sides of a triangle are smaller than angles opposite the longer sides. In our case, we can see that $\overline{RT}$ is the shortest side, followed by $\overline{ST}$ and then $\overline{RS}.$ Now, let's find an opposite angle of each side. Therefore, the order of angles from smallest to largest is $\angle S,$ $\angle R,$ $\angle T.$