$\"\"$

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Solve for $\"\"$ means finding all measures $\"\"$ .

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You know the measures of two sides and their included angle, so use the

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Law of cosines to find the unknown angle measure.

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In $\"\"$ , by the law of cosines, $\"\"$

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Substitute $\"\"$

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$\"\"$

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$\"\"$ (Evaluate powers)

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$\"\"$ (Multiply)

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$\"\"$ (Add)

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$\"\"$ (Take the square root of each side)

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$\"\"$ (Use a calculater) $\"\"$

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Now use Law of sines to find the unknown angle measures.

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In $\"\"$ , by Law of sines, $\"\"$ .

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$\"\"$ (Write the proportion)

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$\"\"$ (Substitute $\"\"$ ) $\"\"$ (Apply cross product property)

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$\"\"$ (Divide each side by 17.9)

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Solve for L.

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L equals the inverse sine of $\"\"$ .

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$\"\"$

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$\"\"$ (Use a calculater) $\"\"$

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By Angle sum theorem, in a triangle sum of the measures of the angles is 180.

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So, $\"\"$ .

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

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$\"\"$ (Add)

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$\"\"$ (Subtract 125.7 from each side) $\"\"$

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The unknown measures are $\"\"$ , $\"\"$ $\"\"$ .