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 RT is the shortest side, followed by ST and then RS.
6 < 9 < 10
RTsmallest to largest is ∠ S, ∠ R, ∠ T.
