SOLUTION: Two angles are supplementary. One angle is 4 degrees less than three times the other. Find the measures of the angles.
Algebra.Com
Question 809054: Two angles are supplementary. One angle is 4 degrees less than three times the other. Find the measures of the angles.
Answer by Okeke_Christian(26) (Show Source): You can put this solution on YOUR website!
If the two angles are supplementary, it means they add up to 180 degrees.
Let's call them x and y.
If x is 4deg less than 3y, then;
-------------- eqn(1)
Remember,
--------------- eqn(2)
Substitute (3y-4) for x in eqn. 2
Open brackets:
Collect like terms:
Divide both sides by 4, the co-efficient of y:
But,
------------ eqn(1)
Therefore,
Therefore,
[CHECK]
Read through and ask questions if you do not fully comprehend the solution. Good luck!
RELATED QUESTIONS
two angles are supplementary. one angle is 280 degres less than three times the other.... (answered by mananth)
Two angles are supplementary. One angle is 208° less than three times the other. Find the (answered by cleomenius)
two angles are supplementary. one angle is 4inches less than three times the other. find (answered by rfer)
Two Angles are supplementary. One angle is 20 degrees less than 4 times the other. Find... (answered by Edwin McCravy)
two angles are supplementaryˏ one angle is 5 degrees less than 4 times the other.... (answered by stanbon)
Two angles are supplementary. One angle is 240 less than three times the other. Find the... (answered by algebrahouse.com)
Two angles are supplementary
One angle is 5° less than four times the other.
Find the... (answered by ewatrrr)
two angles are supplementary. one angle is 5 degrees less than four times the other. find (answered by MathLover1)
two angles are supplementary. One angle is 20 degrees less than four times the other.... (answered by Big Poop)