SOLUTION: A supplement to an angle has a measure which three times the measure of a complement to the same angle. What is the messure of the angle?
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Question 1158994: A supplement to an angle has a measure which three times the measure of a complement to the same angle. What is the messure of the angle?
Found 2 solutions by Amily_2190, josgarithmetic:
Answer by Amily_2190(27) (Show Source): You can put this solution on YOUR website!
Supplement= forms 180 degrees together
complement= forms 90 degrees together
lets say
3x= supplement
x= complement
y= angle
Supplement= 180= 3x+y
Complement= 90=x+y
To combine the two equations together, multiply 90=x+y by negative three to cancel out the positive 3x of the supplement equation.
-3(90)=-3(x+y)
-270=-3x-3y
-270=-3x-3y
180=3x+y
(add these two equations together to find Y)
-90= -2y
y=
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
x, the angle
180-x, the supplement
90-x, the complement
The description:
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