SOLUTION: The measures of two angles are in the ratio 4:5. The larger of the two angles is 60 less than twice the smaller angle. Find the measure of each angle. Are the angles complementary?

Question 885815: The measures of two angles are in the ratio 4:5. The larger of the two angles is 60 less than twice the smaller angle. Find the measure of each angle. Are the angles complementary? Supplementary?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The measures of two angles are in the ratio 4:5. The larger of the two angles is 60 less than twice the smaller angle. Find the measure of each angle. Are the angles complementary? Supplementary?
***
let x=smaller angle
y=larger angle
x/y=4/5
x=(4/5)y
..
y=2x-60
y=(8/5)y-60
5y=8y-300
3y=300
y=100
x=(4/5)y=80
smaller angle=80
larger angle=100
angles are supplementary

RELATED QUESTIONS
the measures of two angles are in the ratio 4:5. the larger of the two angles is 60 less... (answered by cleomenius)

the measures of two angles are in the ratio 4:5 .The larger of the two angles is 60 less... (answered by basketball1127)

The measure of 2 angles are in the ratio of 4:5. THe larger of the two angle is 60 less... (answered by stanbon)

Two angles are complementary. The larger angle measures three degrees less than twice the (answered by rfer)

Two angles are supplementary. If the larger angle measures 60 less than twice the... (answered by DrBeeee)

1) Two numbers are in the ratio of 3:5. If 8 is subtracted from their sum, the result is... (answered by ankor@dixie-net.com)

The measures of two angles in a trapezoid are in the ratio of 2:4. The measure of the... (answered by TimothyLamb)

find the measures of two complementary angles such that the larger angle is six less than (answered by Fombitz)

the smaller of two complementary angles is 46 less than the larger angle. find the... (answered by ewatrrr)