To find all the angles we modify the above equations.
(1) 8x=168+360n, x=21+45n where n is any integer, positive or negative or zero. So we get the angles 21, 66, 111, 156, ... degrees from this formula. Also, -24, -69, ... degrees.
(2) The sine is positive in the first and second quadrant so the other formula is 2x=68+360n, x=34+180n and x=34, 214, 394, ..., -146, -326, ... degrees.
There are an infinite number of solutions.