Question 361009
Find an angle whose supplement is 54 degrees greater in measure than three times its complement.


Let angle = A


Then its supplement = 180 - A, and its complement = 90 - A


Now, since its supplement is 54 degrees greater than three times its complement, then:

180 - A = 3(90 - A) + 54


180 - A = 270 - 3A + 54 


- A + 3A = 270 + 54 - 180


2A = 144


A = {{{144/2}}} = {{{highlight_green(72^o)}}}