text: Working in degrees\n\nUse the equivalence sin(x) + cos(x) = sqrt(2) * sin(x + 45)\n\nYou have 2 * sin(x) = 1 - 2 * cos(x)\nRearrange and divide by 2: sin(x) + cos(x) = 1/2\nThen sqrt(2) * sin(x + 45) = (1/2)\nand thus sin(x + 45) = (1/2) / sqrt(2)\n\nAfter that it boils down to calculator bashing\n\n(1/2) / sqrt(2) = 0.3536\nx + 45 = 20.71 (degrees)\nx = 335.7 degrees\n\nI'll leave you to sort out whether there are other solutions.