$\"\"$

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Since alternate interior angles of a parallelgram congruent, $\"\"$ .

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$\"\"$ (Write from the definition of congruent angles)

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

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So, the measure of $\"\"$ is 88. $\"\"$

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Use Law of sines to find the side measures.

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$\"\"$ (Write the proportion)

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

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

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

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Since opposite sides of a parallelogram are congruent, $\"\"$ .

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The perimeter of parallelogram ABCD is $\"\"$ .

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$\"\"$ (Perimeter of parallelogram ABCD)

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

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$\"\"$ (Add) $\"\"$

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The perimeter of the parallelogram ABCD is 34.6 units.