SOLUTION: the measure of angle j is half of its compliment plus 12 degrees

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Question 149389: the measure of angle j is half of its compliment plus 12 degrees
Found 2 solutions by mangopeeler07, jim_thompson5910:
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
j=1/2(c+12)
c=c
j+c=90
1/2(c+12)+c=90

1/2c+6+c=90
3/2c+6=90

3/2c=84
c=55.99
j=90-c
j=90-55.99
j=34.01

j=34.01
j's compliment=55.99

------------------------------------OR----------------------------------------
j=(1/2c)+12
c=c

j+c=90
1/2c+12+c=90

3/2c+12=90
3/2c=78
c=52

j=38
j's compliment=52

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"measure of angle j is half of its compliment plus 12 degrees" translates to j=%281%2F2%29%28c%2B12%29


Also, since angle j and angle c are complementary angles, this means that j%2Bc=90


%281%2F2%29%28c%2B12%29%2Bc=90 Plug in j=%281%2F2%29%28c%2B12%29


c%2B12%2B2c=180 Multiply every term by 2 to clear the fraction.


c%2B2c=168 Subtract 12 from both sides.


3c=168 Combine like terms.


c=56 Divide both sides by 3.


j=%281%2F2%29%28c%2B12%29 Go back to the first equation.


j=%281%2F2%29%2856%2B12%29 Plug in c=56


j=%281%2F2%29%2868%29 Add


j=34 Multiply.