Question

list the side lengths of δrst in order from shortest to longest.

Explanation:

Step1: Find ∠RST

∠RST + 115° = 180°
∠RST = 180° - 115° = 65°

Step2: Calculate ∠T

Sum of angles in △RST is 180°
∠T = 180° - 45° - 65° = 70°

Step3: Match sides to opposite angles

Side opposite 45°: $ST$
Side opposite 65°: $RT$
Side opposite 70°: $RS$
Shorter side ↔ smaller angle.

Answer:

$ST < RT < RS$