SOLUTION: If one of two supplementary angles is 16 degrees smaller than three times the other, find the measure of the larger. cumulative review chapters 1-6 pg 291

Algebra.Com
Question 121227This question is from textbook Geometry for enjoyment and challenge
:
If one of two supplementary angles is 16 degrees smaller than three times the other, find the measure of the larger.
cumulative review chapters 1-6 pg 291
This question is from textbook Geometry for enjoyment and challenge

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
x+3x-16=180
4x=180+16
4x=196
x=196/4
x=49 degrees for the smaller angle.
180-49=131 degrees for the smallest angle.
proof
49+3*49-16=180
49+147-16=180
196-16=180
180=180

RELATED QUESTIONS

if one of two supplementary angles is 16 degrees smaller then three times the other, what (answered by rfer)
One of two supplementary angles is 24 more than three times the other. Find the measure... (answered by waynest)
Two angles are supplementary. The larger angle is eight degrees more than three times (answered by checkley79)
One of two supplementary angles is 8 degrees larger than the other. Find the measure of... (answered by rfer)
Two angles are supplementary. The Larger angle is 20 degrees less than three times the... (answered by rfer)
If one of two supplementay angles is 35 degrees larger than the other, find the measure... (answered by Fombitz)
if two angles are supplementary and the larger angle is 20 degrees less then three times... (answered by mananth)
Two angles are supplementary. One is 15 (degrees) more than Four times the other. Find... (answered by scott8148)
one of two supplementary angles is 30 degrees less than the other. Find the measure of... (answered by unlockmath)