Question 162875
Remember, if two angles are "supplementary" then the sum of the two angles is 180.  And, if two angles are "complementary" then the sum of the two angles is 90.
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Let x = "the angle"
then
180-x = the supplement
90-x = the complement
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From: "Half the supplement of the angle is 12 degrees less than twice the complement of the angle."
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(1/2)(180-x) =  2(90-x) - 12
180-x =  4(90-x) - 24
180-x =  360 -4x - 24
180-x =  336 -4x
180+3x =  336
3x = 156
x = 52 degrees