the complement of an angle is 200 less that 3 times the complement of the suplement

Question

i need it as an equation and the measure of the complement

Answer 1

Let the angle have a measurement of d degrees; then its complement is 90-d and the complement of the supplement would be 90 - (180-d). This latter expression can be simplified to d+90.

 

"the complement of an angle is 200 less that 3 times the complement of the supplement" means

(90-d) + 200 = 3 [90 - (180-d)].

 

290 - d = 3(d+90)

290 = 4d + 270

20 = 4d

d = 5 degrees.