college trigonometry

Question

let a be an acute angle in degrees. adding together a's complement, a's supplement and one of a's coterminal angles gives 2019 degrees. determine a.

Answer 1

90 - a, a's compliment

180 - a, a's supplement

360 + a, a's coterminal

630 - 2a = 2019

-2a = 1389

a = 694.5

To be acute

a = - 22.5