⇒ ∠1 and ∠2 are angles lying on a straight line.
⇒This simply means that the sum of ∠1 and ∠2 since the straight line forms an angle of 180°
∠1+∠2=180°
⇒It is given that the measure of ∠2 is 60° more than ∠1
This means that to get ∠2 you have to add 60° in ∠1
As a conclusion we can say that ∠2=∠1+60°...(second equation to get ∠2)
⇒In the equation ∠1 +∠2=180°
⇒Substitute the value of ∠2 which is (∠1+60°)
∠1+(∠1+60°)=180°
⇒Now simplify to get the value of∠1
∠1+∠1=180°-60°
2(∠1)=120°
Note I got 2(∠1) since ∠1+∠1= 2× (∠1)
∠1 =60°
⇒Note from what we have now we can also get the value of∠2 but we were not asked to get it. Therefore we will not.