SOLUTION: Half the supplement of an angle is 12 degrees less than twice the complement of the angle. Find the measure of the angle.
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Question 200873: Half the supplement of an angle is 12 degrees less than twice the complement of the angle. Find the measure of the angle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Half the supplement of an angle is 12 degrees less than twice the complement of the angle.
Find the measure of the angle.
:
Let the angle be x:
:
Write a equation for the statement:
"Half the supplement of an angle is 12 degrees less than twice the complement of the angle."
(180-x) = 2(90-x) - 12
Multiply both sides by 2 to get rid of the fraction, results:
180 - x = 4(90-x) - 24
:
180 - x = 360 - 4x - 24
-x + 4x = 360 - 24 - 180
3x = 156
x =
x = 52 degrees is the angle
;
:
Check solution in the original equation:
(180-52) = 2(90-52) - 12
(128) = 2(38) - 12
64 = 76 - 12
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