SOLUTION: The sum of the measures of two acute <s is 110. The supplement of the smaller , is 15 times the complement of the larger <. fin the measures of the two acute <s.

Algebra ->  Angles -> SOLUTION: The sum of the measures of two acute <s is 110. The supplement of the smaller , is 15 times the complement of the larger <. fin the measures of the two acute <s.      Log On


   

Question 465596: The sum of the measures of two acute
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the measures of two acute ---
Let one of the angle be "x".
Then the other is "110-x".
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Equation:
180-x = 15[90-(110-x)]
----
180-x = 15[-20+x]
---
180-x = -300+15x
16x = 480
x = 30 degrees (one of the angles)
110-30 = 80 degrees (the other angle)
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Cheers,
Stan H.