SOLUTION: one of two supplementary angles is 30 degrees greater than twice the other. find the degree measure of each angle?
Algebra.Com
Question 551056: one of two supplementary angles is 30 degrees greater than twice the other. find the degree measure of each angle?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Two angles can be defined as 'a' and 'b'.
They are supplementary, so: a+b=180.
a = 2*b +30
Substitute
2b + 30 +b = 180
3b = 150
b = 50
a = 2*50 + 30 = 130
or
a = 180-50 = 130
.
Answer: The two angles are 50 degrees and 130 degrees.
.
Done.
RELATED QUESTIONS
One of two supplementary angles is 30 degrees greater than twice the other. Find the... (answered by mananth)
9. One of two supplementary angles is 30 degrees greater than twice the other. Find the... (answered by Alan3354,stanbon)
two angles are supplementary. the measure of one angle is 30 degrees smaller than twice... (answered by lwsshak3)
Two angles are supplementary. One angle is 15 degrees more than twice the other. Find the (answered by rfer)
two angles are supplementary. one angle is 3 degrees less than twice the other. Find the... (answered by rfer)
find the measure of the supplementary angles if one angle is 30 degrees more than twice... (answered by rfer)
two angles are supplementary (their sum is 180 degrees). One angle is 28 degrees less... (answered by Alex.33,MathTherapy,ikleyn)
Two angles are supplementary and one angle is 18 degrees greater than the other. Find the (answered by Boreal)
one of two supplementary angles is 30 degrees less than the other. Find the measure of... (answered by unlockmath)