$\"\"$

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The measures are $\"\"$ .

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Apply law of cosines to determine angle A.

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Apply inverse function.

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$\"\"$

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$\"\"$

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$\"\"$

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Find C

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Apply Law of sines.

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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Apply Cross multiplication $\"\"$ then $\"\"$ .

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$\"\"$

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$\"\"$

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Divide each side by 4.

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$\"\"$

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$\"\"$

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Apply inverse function.

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$\"\"$

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$\"\"$

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$\"\"$

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The sum of the angle measures of a triangle is $\"\"$ .

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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Subtract 54 from each side.

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$\"\"$

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$\"\"$

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$\"\"$

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The angles of $\"\"$ , $\"\"$ and $\"\"$ .