SOLUTION: If a< and b < are supplementary and a is 9 times as large as b find a and b

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Question 952316: If a< and b < are supplementary and a is 9 times as large as b find a and b


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

If < a and < b are supplementary, their sum is 180°;
a%2Bb=180.......eq.1
and if < a is 9 times as large as b, then we have:
< a=9b.....eq.2 substitute it in eq.1
9b%2Bb=180.......eq.1
10b=180
highlight%28b=18%29°
go to < a=9b.....eq.2 substitute 18 for b
< a=9%2A18
< highlight%28a=162%29°