Two angles are supplementary. The differ- ence of their measures is 172". Find the
measure of the larger angle

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

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