SOLUTION: The supplement of an angle is four times the complement of the angle. Find the measure of the complement.
<1=x
<2=4x
<1+<2=180 degrees
dont get how to add in the complementar
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Question 222083: The supplement of an angle is four times the complement of the angle. Find the measure of the complement.
<1=x
<2=4x
<1+<2=180 degrees
dont get how to add in the complementary
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
There are a couple of ways to do this one. I think since you have supplement AND complement in this problem, I would
let x = the angle. Then,
90-x = the complement
180-x = the supplement
Write the equation this way:
Supplement IS 4 times Complement
180-x = 4(90-x)
180-x = 360-4x
Add +4x to each side:
180-x+4x= 360-4x+4x
180+3x = 360
Subtrac 180 from each side:
3x = 180
x= 60 the angle
The complement is 90-x = 30 degrees
The supplement is 180-x = 120 degrees
Answer the question: "Find the measure of the complement." The answer to the problem is 30 degrees.
Check: "The supplement is 4 times the complement." This is true!
R^2
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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