SOLUTION: Recall that two angles are complementary if the sum of Their measures is 90 degrees. Find the measures of two complementary angles if one Angle is 6 degrees more than three ti

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Question 1054459: Recall that two angles are complementary if the sum of
Their measures is 90 degrees.
Find the measures of two complementary angles if one
Angle is 6 degrees more than three times the other
Angle.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angles be:
+a+ and +b+
(1) +a+=+3b+%2B+6+ degrees
(2) +a+%2B+b+=+90+ degrees
--------------------------------
(2) +a+=+90+-+b+
Plug (2) into (1)
(1) +90+-+b+=+3b+%2B+6+
(1) +4b+=+90+-+6+
(1) +4b+=+84+
(1) +b+=+21+ degrees
and
(2) +a+=+90+-+b+
(2) +a+=+90+-+21+
(2) +a+=+69+ degrees