Question

two complementary angles differ by 20 find the measure of each

Answer 1

Let the two angles be x and y
x+y=90_(1)
X-y=20
X=20+y_(2)
Substituting (1)in(2)
20+2y=90
2y=70
Y=35
X=20+35=55
Two angles are 35 and 55

Answer 2

let the 1st angle be x
2nd angle be y
x+y =90( angles are complementary)........ (i)
x-y=20 (given)

x=20+y.......(ii)
eq. (ii) in (i)
20+y+y=90
2y=70
y=35

x=20+y
= 20+35
=55