Question

Angle QRS is a straight angle. The measure of <2 is 60 degrees more than the measure of

<1.


What is the measure of <1?

Answer 1

Let the Measure of ∠1 =x°

Also, Measure of ∠2=60° more than ∠1

⇒ ∠2=60° +x

It is given that ∠QRS , is a Straight Angle.

⇒ ∠1 + ∠2=180°

⇒ x+60°+x=180°

⇒2x=180°-60°

⇒2x=120°

Dividing both side by , 2 we get

x=60°

So, ∠1=60°

∠2=60°+60°=120°