The difference between the degree measures of two supplementary angles is 80°. What is the degree number of the larger angle?

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Answer 1 · 2016-01-15T12:54:37

#130^@#

Let the 2 supplementary angles be #x and y# such that #x < y#.

Since they are supplementary, it implies that #x+y=180^@#.

Since the difference between the angles is #80^@#, it implies that #y-x=80^@#.

Solving these 2 equations simultaneously yields :

#x=180^@-y#.

#therefore y-(180-y)=80#

#therefore y=130^@#.