Adiagonal of a parallelogram is 50 inches long and makes angles of 37°10' and 49°20' with the sides. how long is the longest side? 30 in. 38 in. 40 in. 66 in.

38 in

Step-by-step explanation:

The remaining angle in the triangle formed by the two sides and the diagonal is ...

... 180° - 37°10' -49°20' = 93°30'

The law of sines tells you the longest side (s) is opposite the largest of the given angles, so satisfies the proportion ...

... s/sin(49°20') = (50 in)/sin(93°30')

... s = (50 in)·sin(49°20')/sin(93°30') ≈ 37.9966 in ≈ 38 in

answer: r there any options?

step-by-step explanation: