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If ∠AOC = (4x -16) and ∠BOC = 2(x + 20), Determine the value of x.


The value of x is 28. Step-by-step explanation: We start with the equation 4x-16 = 2(x+20). To solve for x, we need to simplify the equation and isolate x on one side. First, we can simplify the equation by distributing 2 to x+20: 4x-16 = 2x+40. Next, we can isolate x by subtracting 2x from both sides: 2x-16 = 40. To isolate x completely, we can add 16 to both sides: 2x = 56. Finally, dividing both sides of the equation by 2 gives us x = 28.