SOLUTION: AOB is a straight line. OD bisect angle AOC. If angle AOC is 12 less than three times angle BOC, find angle COD.

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Question 1090477: AOB is a straight line. OD bisect angle AOC. If angle AOC is 12 less than three times angle BOC, find angle COD.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If it is something like this (or its mirror image,
with A on the left end)

The phrase "12 less than..." tells me that it is 12%5Eo ,
and that angles are supposed to be measured in degrees
Let it be x=BOC .
Then, AOC=3x-12 , and
AOC%2BBOC=AOB
translates into AOC%2Bx=180 and
3x-12%2Bx=180
Simplifying and solving:
4x-12=180
4x=180%2B12
4x=192
x=192%2F4
x=48
AOC=180-48=132
Then AOD=COD=AOC%2F2=132%2F2=highlight%2866%29