Posted by rhodora on .
the ratio of the measure of the complementsof two angle is3:4while the ratio of the measure of their supplements is 9:10 find the measure of each angle.

plss answer fast math algebra 
Reiny,
let one angle be x
let the other be y
then their complements are 90x and 90y
and their supplements: 180x and 180y
(90x)/(90y) = 3/4
270  3y = 360  4x
4x  3y = 90 , #1
(180x)/(180y) = 9/10
1620  9y = 1800  10x
10x  9y = 180 , #2
#1 times 3
12x  9y = 270
subtract #2
2x = 90
x = 45
into #1
180  3y = 90
3y = 90
y = 30
so one angle is 45° and the other is 30°
check:
their complements are 45 and 60
45 : 60 = 3:4
their supplements are 135 and 150
135:150 = 9:10
YEAHHH 
plss answer fast math algebra 
alex,
the ratio of the complement of an angle to the supplement is 1:7.Find the angle.