SOLUTION: A triangle has an angle that measures 55°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?
Algebra.Com
Question 1068339: A triangle has an angle that measures 55°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A triangle has an angle that measures 55°.
The other two angles are in a ratio of 2:3.
What are the measures of those two angles?
:
let x = the multiplier
then
2x = one angle
and
3x = another angle
:
2x + 3x + 55 = 180
5x = 180 - 55
5x = 125
x = 125/5
x = 25 is the multiplier
then, obviously
25(2) = 50 degrees is one angle
and
25(3) = 75 degrees is the other angle
:
;
check: 50 + 75 + 55 = 180
RELATED QUESTIONS
A triangle has an angle that measures 95°. The other two angles are in a ratio of 3:14.... (answered by lwsshak3,jean carlos)
A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14.... (answered by ikleyn)
A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13.... (answered by ankor@dixie-net.com)
A triangle has an angle that measures 30°. The other two angles are in a ratio of 13:17. (answered by ikleyn,greenestamps)
A triangle has an angle that measures 60°. The other two angles are in a ratio of 5:7.... (answered by ikleyn)
One angle of a triangle measures 11°. The other two angles are in a ratio of 3:10. What... (answered by jim_thompson5910)
One angle of a triangle measures 110°. The other two angles are in a ratio of 2:5. What... (answered by Alan3354)
One angle of a triangle measures 70°. The other two angles are in a ratio of 4:7. What... (answered by rfer)
One angle of a triangle measures 10°. The other two angles are in a ratio of 6:11. What... (answered by jim_thompson5910)