Question 322822
Let x = the angle
90-x= the complement
180-x = the supplement


Paraphrasing the statement to write the equation:
The supplement IS 10 more than 5 times the complement.
180-x=5(90-x)+10
180-x=450-5x+10
180-x+5x=460-5x+5x
180+4x=460
4x=460-180
4x=280
x=70 = the angle
90-x=20  the complement
180-x=180-70=110 the supplement


Check:  
The supplement 110 exceeds 5 times the complement 20 by 10
110 = 100 + 10
It checks!


Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus