Question

∠1 and ​ ∠2 ​ are vertical angles. ∠2 ​ has a measure of 31°. What is the measure of ​ ∠1 ​? Enter your answer in the box

Answer 1

For this case, the first thing you should know is that by definition, the vertical angles are congruent.

We have then:

∠1 and ∠2 are vertical angles.

Therefore, by definition:

∠1 = ∠2

On the other hand we have:

∠2 has a measure of 31 °.

Thus:

∠1 = ∠2 = 31 °

Answer:

the measure of ∠1 is:

∠1 = 31 °

Answer 2

As they are vertical angles, their magnitude will be equal. so, 
<1 = <2
<1 = 31

In short, Your Answer would be 31

Hope this helps!