SOLUTION: one of two supplementary angles exceeds 5 times the other angle by 12 degrees. find the measurement of the smaller angle.

Algebra.Com
Question 1012175: one of two supplementary angles exceeds 5 times the other angle by 12 degrees. find the measurement of the smaller angle.
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
S=smaller angle L=larger angle=5S+12
.
S+L=180
S+5S+12=180
6S=168
S=28
ANSWER: The smaller angle is 28 degrees
.
CHECK:
L=5S+12
L=5(28)+12
L=140+12
L=152
The larger angle is 152 degrees.
.
L+S=180
152+28=180
180=180
.

RELATED QUESTIONS

The larger of two supplementary angles exceeds seven times the smaller by four degrees.... (answered by nerdybill)
The larger of two supplementary angles exceeds 7 times the smaller by 4 degrees. Find the (answered by rfer)
The larger of two supplementary angles exceeds 7 times the smaller by 4 degrees. Find the (answered by addingup)
you have two supplementary angles and one angle measures 80 degrees. what is the... (answered by ewatrrr)
find the measurement of two complementary angles if one angle is 6 degrees more than 3... (answered by LtAurora)
Two angles are supplementary. One is 15 (degrees) more than Four times the other. Find... (answered by scott8148)
The larger of two supplementary angles exceeds 7 times the smaller by 4 degrees . What is (answered by brysca)
Two angles are supplementary. One angle measures 5 degrees more than 6 times the other... (answered by rfer)
Two angles are supplementary. One angle measures 12 degrees more than the other. Find the (answered by checkley77)