Find all the angles between \(0^\circ\) and \(180^\circ\) which satisfy the equations

- \(\tan (x + 60^\circ) = 1\),
- \(8 \sin y + 3 \sec y = 0\),
- \(3 \sin^2 z - 8 \sin z \cos z - 3 \cos^2 z = 0\).

Find all the angles between \(0^\circ\) and \(180^\circ\) which satisfy the equations

- \(\tan (x + 60^\circ) = 1\),
- \(8 \sin y + 3 \sec y = 0\),
- \(3 \sin^2 z - 8 \sin z \cos z - 3 \cos^2 z = 0\).