Answer:
78.75°
Step-by-step explanation:
Let x represent the measure of the angle in degrees. Then its supplement is 180-x, and its complement is 90-x. The given relation is ...
180 -x = 9·(90 -x)
180 -x = 810 -9x . . . . eliminate parentheses
8x = 630 . . . . . . . . . . add 9x-180
x = 630/8 = 78.75
The measure of the angle is 78.75°.
