What is the value of X?

58

Step-by-step explanation:

The measure of an angle (51°) formed by a secant and a tangent from a point outside the circle is 1/2 the difference of the measures of the intercepted arcs (x° and 160°).

(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