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Step 1:

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$\"\"$ measures angles are $\"\"$ and $\"\"$ and side $\"\"$ .

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Sine rule is $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in the sine rule.

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$\"\"$ .

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Find the length of angle $\"\"$ .

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$\"\"$ angle is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in above formula.

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$\"\"$

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Length of angle $\"\"$ is $\"\"$ .

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Step 2:

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Find length of $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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Side length of $\"\"$ is $\"\"$ .

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Find length of $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the sine rule.

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$\"\"$

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Consider $\"\"$ .

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$\"\"$

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Side length of $\"\"$ is $\"\"$ .

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Solution :

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Length of angle is $\"\"$

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Sides os lengths are $\"\"$ and $\"\"$ .

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(b)

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Step 1:

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$\"\"$ measures angles are $\"image\"$ and $\"image\"$ and side $\"image\"$ .

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Substitute $\"\"$ $\"image\"$ , $\"image\"$ and $\"image\"$ in the sine rule from (a).

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$\"image\"$

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Find the length of angle $\"image\"$ .

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Substitute $\"image\"$ and $\"image\"$ in $\"image\"$ .

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$\"\"$ \ \

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Length of angle $\"\"$ is $\"image\"$ .

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Find length of $\"image\"$ .

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Consider $\"image\"$ .

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$\"image\"$

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Find length of $\"image\"$ .

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Substitute $\"image\"$ in the sine rule.

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Consider $\"image\"$

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$\"image\"$

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Side length of $\"\"$ is $\"image\"$ .

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Solution :

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Length of angle is $\"image\"$ .

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Sides is lengths are $\"\"$

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