How would I find the following measures of the angle btw it

How would I find the following measures of the angle.

btw it is a large angle with smaller angles inside it measures: AOC= 7x-2 AOB= 2x+8 BOC = 5x+10

so basically i have to solve for x and find each measure of the angle thankyou so much for the help.

Solution

Let us assume angle BOC is contained in Angle AOC.

angle AOC= 7x-2

angle AOB= 2x+8

angle BOC=5x+10.

As AOB+BOC=AOC,

(2x+8)+(5x+10)= 7x-2

7x+18=7x-2 ----> 20=7x-7x =0 which is absurd . So the problem is not logical.

How would I find the following measures of the angle. btw it is a large angle with smaller angles inside it measures: AOC= 7x-2 AOB= 2x+8 BOC = 5x+10 so basical

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