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x=29

Step-by-step explanation:

Since this is a straight line, it has to be 180 degrees in total.

Solve x+35+4x=180.

Add the similar numbers. (5x+35=180)

Subtract 35 to 180 (145)

Solve for this by divding 145 by 5: 5x=145

145/5 = 29

So, x = 29.

(To check your answer, subsitute it in. 4x29 = 116. 29+35=64. Add both numbers together, making it equal to 180.)  

(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