Question

two complementary angles differ by 80 degree find the angles

Answer 1

let the two complementary angles be x and y
then x+y=90.............(i)
given they differ by 80
so, x-y = 80............(ii)
(i)+(ii)-----》
2x=170
x=85
putting x=85 in (i), we get
85+y = 90
y=5
therefore two complementory angles are 85 degree and 5 degree