The ratio of two supplemetary angles is 3:6. What is the measure of the smaller angle?

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Answer 1 · 2015-12-29T18:41:52

#60^@#

Let the 2 supplementary angles be #x and y#.

Since they are supplementary, #x+y=180^@#...........(1).

Since the ratio of #x# to #y# is #3:6=1:2#, #y=2x#......(2).

Now solve for equations (1) and (2) simultaneously :

Substituting (2) into (1) yields :

#x+2x=180#

#thereforex=180/3=60^@#.

#therefore y=2(60)=120^@#.