Please help me understand this problem plz

x∠ = 32

Step-by-step explanation:

since this is a right triangle we can tell that one angle is a right angle (that is, a 90-degree angle)

and since the outsider angle is 122 degrees the sum between the inside one and the outside one must be 180 which means it is 180 - 122 = 58

so we know that the right angle is 90 degrees, the other one is 58 and the sum of angles in a triangle is 180, x must equals 32

180 - 90 - 58

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47