Desperately need tangent lines; what is the value of x? explain! brainliest

I believe x is 30 degrees.

The equilateral triangle has each angle equal to 60 degrees. So the small arc near x is also 60. The angle x is half the arc so would be 30.
This also makes sense because the triangle it forms with angle x and the center has center angle of 60 and angle formed by tangent and radius of 90. So it is a 30-60-90 triangle, making angle x 30.

The answer that i got was 8/3