Answer
69 degrees
Work Step by Step
First of all, we find that angle V is equal to twice the measure of angle P. Thus, angle V equals 46 degrees. Since all angles in a triangle add to 180 degrees, it follows:
$VRP = 180 - 46 - 23 = 111$
Now, since VRP is supplementary to VRS, we obtain:
$ VRS = 180 - 111 = 69^{\circ}$.