If the remainder of an angle is 4 ° less than half of its complement, find the degree of its complement

The remainder of an angle: 90 ° - x
Half of the complement of this angle is: (180 ° - x) / 2
The remainder of an angle is 4 ° less than half of its complement: (180 ° - x) / 2-4 = 90 ° - X
(180°-x)/2-4°=90°-x
180°-x-8°=180°-2x
x=8°
The degree of complement of this angle: 180 ° - x = 180 ° - 8 ° = 172 °