SOLUTION: the difference of two supplementary angles is 46degree.find the value of the smaller angle.

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Question 889753: the difference of two supplementary angles is 46degree.find the value of the smaller angle.
Answer by Nigelyul(18) About Me  (Show Source):
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Supplementary angles are angles that have a sum of 180°
Let x be the 1st angle
180+-+x be the 2nd angle
%28x%29+-+%28180+-+x%29+=+46+
+2x+-+180+=+46+
+2x+=+226
+x+=+113
180+-+%28113%29+=+67
The value of the smaller angle is 67°