SOLUTION: The measures of two angles are in the ratio 5:3. The measure of the larger angle is 30 greater then half the difference of the angles. Find the measure of each angle. I have: L

Question 155103: The measures of two angles are in the ratio 5:3. The measure of the larger angle is 30 greater then half the difference of the angles. Find the measure of each angle.
I have: L=30+.5(L-S)
L/S=5/3 or 3L=5S
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let b be the bigger and s the smaller.
5s=3b
s=3b/5
.

2b=60+b-s Multiply each side by 2 to eliminate the fraction.
Substitute for s.
10b=300+5b-3b Multiply each side by 5 to eliminate the fraction.
8b=300
b=37.5
s=22.5
.
Ed

RELATED QUESTIONS
The measures of two angles are in the ratio 5:3. The measure of the larger angle is 30... (answered by ewatrrr)

THe measures of 2 angles are in the ratio 5:3 . The measure of the larger angle is 30... (answered by Fombitz)

‎1.The measure of an angle is 30 degrees more than twice the measure of its... (answered by math-vortex)

the measure of two supplementary angles are in the ratio 5:7. what is the measure of the... (answered by ankor@dixie-net.com)

The measures of two angles are in the ratio 4:5. The larger of the two angles is 60 less... (answered by lwsshak3)

The ratio of the measures of two complementary angles is 5:4. what is the measure of the... (answered by solver91311)

the ratio of the measures of two complementary angles is 5:4 what is the measure of... (answered by fcabanski)

The ratio of the measures of two complimentary angles is 3:7. What is the measure of the... (answered by mananth)

The ratio if the measures of two complementary angles is 3:7. What is the measure of the... (answered by jim_thompson5910)