SOLUTION: The measure of angle b, the supplement of angle a, is four times the measure of angle c, the complement of angle a.
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Question 347430: The measure of angle b, the supplement of angle a, is four times the measure of angle c, the complement of angle a. Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! We can deduce these algebraic facts from yur statements...
b + a = 180
b = 4c
c + a = 90
If we substitute 4c for b in the first equation, we get
4c + a = 180
c + a = 90
Now subtract equations and get
3c = 90
c = 30
b = 120
a = 60
and all checks out.
