name a pair of vertical angles
<2 and <5
<2 and <6
<3 and <4
<5 and <6
Sure, here's a pair of vertical angles: <2 and <5. They love hanging out together, discussing their acute observations and obtuse jokes. They're always bringing geometry into their conversations!
A pair of vertical angles refers to a pair of nonadjacent angles formed by two intersecting lines. Vertical angles are always congruent, meaning their measures are equal.
Out of the options you provided, the pair of angles that are vertical angles is <2 and <5.
Now, let me explain how to recognize vertical angles and find a pair yourself.
To identify vertical angles, you need to look for intersecting lines or line segments.
1. Look for intersecting lines: Two lines that cross each other at a point are called intersecting lines.
Example: If you have two lines labeled as Line A and Line B and they intersect at point P, you can look for pairs of angles formed.
2. Identify nonadjacent angles: Nonadjacent angles are angles that are not next to each other but are formed by intersecting lines.
Example: In the case of Line A and Line B intersecting at point P, look for angles that are not next to each other.
3. Check for congruent measures: If the pair of angles has the same measure, they are vertical angles.
Example: If <2 and <5 have the same measure, they are vertical angles.
Remember, vertical angles exist when two lines intersect, and their measures are always equal.
A pair of vertical angles includes angles that are opposite to each other when two lines intersect.
Therefore, the given pairs of vertical angles are:
1. <2 and <5
2. <3 and <4