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How can I find angle C?

How can I find angle C?-example-1

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recall all interior angles in a triangle add up to 180°, therefore


\bf \stackrel{A}{x+40}~~+~~\stackrel{B}{2x-5}~~+~~\stackrel{C}{3x-17}~~=~~180 \\\\\\ 6x+18=180\implies 6x=162\implies x=\cfrac{162}{6}
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