SOLUTION: The sum of the measures of 2 acute angle is 110. The supplement of the smaller angle is 15 times the complement of the larger angle. Find the measures of the 2 acute angles?

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Question 465593: The sum of the measures of 2 acute angle is 110. The supplement of the smaller angle is 15 times the complement of the larger angle. Find the measures of the 2 acute angles?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, Previously posted

Let x and (110°-x) represent the smaller and larger angle

Question states***

 (180° - x)= 15[90°-(110-x)]

Solving for x

 (180 - x)= 15[x - 20)]

  180-x = 15x -300

     480 = 16x

        x = 30°, the smaller angle.  80° the meansure of the Larger angle



CHECKING our Answer***

  150° = 15*10°