Question

find the shortest side of $\triangle rsu$.

Explanation:

Step1: Find ∠USR

∠USR and the 117° angle are supplementary, so:
$\angle USR = 180^\circ - 117^\circ = 63^\circ$

Step2: Calculate ∠U

Sum of angles in a triangle is 180°:
$\angle U = 180^\circ - \angle R - \angle USR = 180^\circ - 62^\circ - 63^\circ = 55^\circ$

Step3: Match sides to angles

In a triangle, the shortest side is opposite the smallest angle. The smallest angle is $\angle U = 55^\circ$, which is opposite side $RS$.

Answer:

$RS$