SOLUTION: find the measure of an angle which is 53 degree more than its supplement

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Question 1047031: find the measure of an angle which is 53 degree more than its supplement
Found 2 solutions by josmiceli, fractalier:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the unknown angle = +A+
The supplement of +A+ is:
+180+-+A+
------------
given:
+A+=+%28+180+-+A+%29+%2B+53+
+A+=+233+-+A+
+2A+=+233+
+A+=+116.5+ degrees
----------------------
check:
Its supplement is:
+180+-+116.5+=+63.5+
+116.5+=+63.5+%2B+53+
+116.5+=+116.5+
OK

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the unknown angle, x.
Its supplement must be 180-x.
Then we can write
x = (180-x) + 53
Now simplify...we get
x = 180 - x + 53
x = 233 - x
2x = 233
x = 116.5 degrees