$\"\"$

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The measures of two angles . $\"\"$ .

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Now find the measure of the third angle.

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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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Subtract 83 from each side.

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$\"\"$

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$\"\"$

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$\"\"$ $\"\"$ (Apply Law of sines)

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$\"\"$ (Substitute $\"\"$ )

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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 0.9925.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ (Apply Law of sines)

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$\"\"$ (Substitute $\"\"$ )

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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 0.9925.

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$\"\"$

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$\"\"$

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$\"\"$

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The values are $\"\"$ , $\"\"$ , and $\"\"$ .