Since they are supplementary angles, both of them will add up to 180°
m∠1+m∠2=180
m∠1 is less than m∠2 by 40°
m∠1+40=m∠2
Substitute m∠1+40 for m∠2
m∠1+m∠1+40=180
2(m∠1)+40=180
-40 -40
2(m∠1)=140
2(m∠1)/2=140/2
m∠1=70°
70°+m∠2=180°
-70 -70
m∠2=110°
Answer: m∠1=70°
m∠2=110°
