What is the value of x? sin(x+37)°=cos(2x+8)° enter your answer in the box. x =

Using trigonometry formula: sin a = cos (90 - a)

cos (2x + 8) = sin (x + 37)
cos (90 - x - 37) = cos (53 - x)

Property of cosine function: (2x + 8) = ± (53 - x)

2x + 8 = 53 - x
3x = 45
x = 15°

2x + 8 = -53 + x
x = -61°

 x = 15°, x = -61°