SOLUTION: The measure of a supplement of an angle is six degrees more than 3 times the measure of the complement. Find the measure of the angle. Please help! Thanks

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Question 890839: The measure of a supplement of an angle is six degrees more than 3 times the measure of the complement. Find the measure of the angle.
Please help!
Thanks

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
let +theta+ = the angle
+180+-+theta+ = the supplement
+90+-+theta+ = the complement
---------------------------------
+180+-+theta+=+3%2A%28+90+-+theta+%29+%2B+6+
+180+-+theta+=+270+-+3%2Atheta+%29+%2B+6+
+2%2Atheta+=+276+-+180+
+theta+=+96%2F2+
+theta+=+48+
The angle is 48 degrees
check:
+180+-+theta+=+3%2A%28+90+-+theta+%29+%2B+6+
+180+-+48+=+3%2A%28+90+-+48+%29+%2B+6+
+132+=+3%2A42+%2B+6+
+132+=+126+%2B+6+
+132+=+132+
OK