Posted by Sam on Thursday, April 22, 2010 at 12:45am.
m<AOB=4x2,m<BOC=5x+10,m<COD=2x+14
How do you solve the equation? And how do you find the measurement of each of the 3 given angles??

Geometry  Reiny, Thursday, April 22, 2010 at 8:42am
I can only assume that you have a triangle ABC with point O somewhere inside.
Don't your 3 angles form one complete rotation?
so ...
4x2 + 5x+10 + 2x+14 = 360
I am sure you can solve that for x, then sub the value of x into the expression for each of the angles.
(BTW, the answer does not come out to a "nice" number, describe the figure if I assumed wrong)
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