If the remainder of an angle is 40 ° less than half of the complement of the angle, then the angle is______ Degree

If the remainder of an angle is 40 ° less than half of the complement of the angle, then the angle is______ Degree


Let this angle be x, then its remainder angle is (90 ° - x) and complement angle is (180 ° - x). From the meaning of the question, 12 (180 ° - x) - (90 ° - x) = 40 ° and the solution is x = 80 °. So the answer is: 80