Question 252586
x=6y-43 
x+y=90
(6y-43)+y=90
6y-43+y=90
7y=90+43
7y=133
y=133/7
y=19 ans for the smaller angle.
x=6*19-43
x=114-43
x=71 ans.
Proof
19+71=90
90=90