SOLUTION: two angles are supplementary. the larger angle has measure three times as great as the measure of the smaller angle. what is the measure of the smaller angle?

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Question 435766: two angles are supplementary. the larger angle has measure three times as great as the measure of the smaller angle. what is the measure of the smaller angle?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

two angles are supplementary. 

the larger angle has measure three times as great as the measure of the smaller angle

Let x and 3x represent the measure of the smaller and larger angle

Question states***

 x + 3x = 180°

   4x = 180°

    x = 45°, the smaller angle



CHECKING our Answer*** 135° the larger angle (3*45°)

  45° + 135° = 180°