Final answer:
To find the measure of the supplementary angle for an angle of 117°, subtract the measure of the given angle from 180°. In this case, the measure of the supplementary angle is 63°.
Step-by-step explanation:
The measure of an angle is 117°. To find the measure of its supplementary angle, we can use the fact that the sum of the measures of two supplementary angles is always 180°. So, to find the measure of the supplementary angle, we subtract the measure of the given angle from 180°:
Supplementary angle = 180° - 117°
Supplementary angle = 63°