Lets denote:
x --- Angle 1
y --- Angle 2
Two angles are supplementary:
x + y = 180
The difference of their measures is 172
x - y = 172
Them we have the system:
x + y = 180
x - y = 172
-------------- Add both equations:
2x = 352
x = 352/2
x = 176
R/ The measure of the larger angle is 176°
