In a triangle, the sum of the interior angles is always 180 degrees. Given that angle J is 47 degrees and angle W is 15 degrees, you can find the measure of angle R by using the following formula:
\[ \text{Angle R} = 180 - (\text{Angle J} + \text{Angle W}) \]
Substituting the values you have:
\[ \text{Angle R} = 180 - (47 + 15) \] \[ \text{Angle R} = 180 - 62 \] \[ \text{Angle R} = 118 \text{ degrees} \]
Thus, the measure of angle R is 118 degrees.