SOLUTION: An angles measure is 12 degree more than 1/2 the measure o its supplemnt. find the measure of the angles.

Question 346776: An angles measure is 12 degree more than 1/2 the measure o its supplemnt. find the measure of the angles.
Found 2 solutions by ewatrrr, checkley77:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi,
*Note: Supplementary Angles have a Sum of 180 degees
.
Let s represent one of the supplementary angles:
The question states the following to be true:
.
Write as you read:
Other angle is (s/2 +12)
.

.
Simplify and Solve for s

Angles are 112 and 68 degrees
.
Check You answer:
112 + 112/2 + 12 = 112 + 56 + 12 = 180

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x+x/2+12=180
(2x+x)/2=180-12
3x/2=168 cross multiply.
3x=2*168
3x=336
x=336/3
x=112 answer for the larger angle.
112/2+12=56+12=68 answwer for the smaller angle.
Proof:
112+68=180
180=180
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