Verified Answer :

HomertheGenius

Angles of the parallelogram:
α = 49° 20 + 37° 10 = 86° 30
β = 180° - 86° 30 = 93° 30
x - length of the longest side of the parallelogram;
The Sine Law:
x / sin 49°30 = 50 / sin 93°30`
x / 0.7585 = 50 / 0.998
0.998 x = 37.925
x = 37.925 : 0.998
x = 38 in
Answer: 
The longest side of the parallelogram is 38 inches long.

Answer: The longest side of the parallelogram is 38 inches long.

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