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?

Question

Dalia Patrick

Mathematics

7 January, 02:02

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?

+5

Answers (1)

Know the Answer?

Korbin Wise · 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°

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?

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?