Question

A diagonal of a parallelogram is 50 inches long and makes angles of 37°10' and 49°20' with the sides. Solve for the longest side of the parallelogram.
First off, did I do this right and secondly, what do 37°10' & 49°20' mean?

Answer 1

X / sin 49 20'  = 50 / sin 9330'

x = 50  * sin49 20'  / sin 93 30'

 =  38 in

Answer 2

Check the picture below

make sure your calculator is in Degree mode, since the angles are in degree
and pretty sure your calculator will have a [° ' "] button to enter degrees and minutes and seconds

if not, you can just convert 49°20' to simply 148/3 degrees, and use that then