Four angles share a vertex. ∠1=98°, ∠2=82°, ∠3=98°, and ∠4=82°. Which angle is a vertical pair with ∠1?
A: ∠3
B: ∠4
C: ∠2
D: none
answer it haiyaa
enough already, ok?
AAAaannndd the bot gets it wrong yet again!
its 3
To determine which angle is a vertical pair with ∠1, we need to understand the concept of vertical angles.
Vertical angles are formed by two intersecting lines and share the same vertex but are not adjacent. They are also congruent, meaning they have the same measure.
In this case, we are given four angles that share a vertex: ∠1, ∠2, ∠3, and ∠4. We are also given the measures of each angle: ∠1=98°, ∠2=82°, ∠3=98°, and ∠4=82°.
To find the vertical pair of ∠1, we need to look for an angle with a measure of 98°, as vertical angles are congruent.
Looking at the given angles, we can see that ∠1=98° and ∠3=98°. Therefore, ∠3 is the vertical pair of ∠1.
Therefore, the correct answer is A: ∠3.