Question

Two angles are supplementary. The differ-

ence of their measures is 172". Find the
measure of the larger angle

Answer 1

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°