Question 330821
two angles are complement of each other if they add to 90 degrees
Two angels are supplement of each other if the add to 180 degrees

Let A=acute angle, O=Obtuse angle
then complement of A = 90-A,  supplement of O = 180-O

You are given
1)  A+O =160 
2) (90-A)+1/2(180-O)=75   You have two equations and two unknowns

simplify the second equation:  
90-A+90-O/2=75
105=A + O/2
from first equation solve for A=160-O and substitute in 105=A+O/2
105=160-O+O/2
-55=-O/2
110=O and A=160-O=50