SOLUTION: the sum of the measures of two acute angles 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 465590: the sum of the measures of two acute angles 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):
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Hi,

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°