-\sqrt{3}\\\\arctg(-\sqrt{3})+\pi n<2x<\frac{\pi }{2}+\pi n,n\in z\\\\-\frac{\pi }{3}+ \pi n<2x<\frac{\pi }{2} +\pi n\\\\-\frac{\pi }{6} +\frac{\pi n }{2}<x<\frac{\pi }{4}+\frac{\pi n }{2},n\in z\\\\x\in(-\frac{\pi }{6}+\frac{\pi n }{2};\frac{\pi }{4}+\frac{\pi n }{2} ),n\in z" alt="tg(\pi-2x)<\sqrt{3} \\\\-tg2x<\sqrt{3}\\\\tg2x>-\sqrt{3}\\\\arctg(-\sqrt{3})+\pi n<2x<\frac{\pi }{2}+\pi n,n\in z\\\\-\frac{\pi }{3}+ \pi n<2x<\frac{\pi }{2} +\pi n\\\\-\frac{\pi }{6} +\frac{\pi n }{2}<x<\frac{\pi }{4}+\frac{\pi n }{2},n\in z\\\\x\in(-\frac{\pi }{6}+\frac{\pi n }{2};\frac{\pi }{4}+\frac{\pi n }{2} ),n\in z" align="absmiddle" class="latex-formula">
ответ : 45⁰