If the remainder of an angle is 40 ° less than 23 ° of its complement, then the degree of the angle is______ Degree

If the remainder of an angle is 40 ° less than 23 ° of its complement, then the degree of the angle is______ Degree

Let the angle be α. According to the meaning of the title, we can get 90 ° - α = 23 (180 ° - α) - 40 ° and the solution can get α = 30 °

The complement of the remainder of an angle is 90 ° larger than half of the complement of the angle

Let the residual angle of this angle be ∠ a, then the complementary angle of this angle is 180 ° - ∠ a = 90 ° + ∠ a, then 180 ° - ∠ a = 12 (90 ° + ∠ a) + 90 ° and the solution is ∠ a = 30 °. So 90 ° - ∠ a = 60 °. A: this angle is 60 °

Given the angle β = 41 ° 25 '35 ", find the remainder and complement of angle β

Residual angle 48 ° 34'25 "method 89 ° 59'60" - 41 ° 25'35 "“
Complement 138 ° 34'25 "method 179 ° 59'60" - 41 ° 25'35 "“