Supplementary angles sum up to 180°. If the measure of angle \( k \) is \( 117° \), you can find the measure of angle \( j \) using the following formula:
\[ \text{Measure of } j = 180° - \text{Measure of } k \]
Substituting the value of \( k \):
\[ \text{Measure of } j = 180° - 117° = 63° \]
Therefore, the measure of angle \( j \) is \( 63° \).