Question: Identify all the Linear pairs in the example below. There are two correct answers.
Select the correct response(s):
<1 and <2
<4 and <5
<2 and <3
<4 and <1
Graph: top-left, a geometry diagram with intersecting lines and angles labeled 1, 2, 3, 4, 5; the linear pairs are <1 and <2, and <4 and <5.
1. **Problem Statement:** Identify all the linear pairs from the given angles labeled 1, 2, 3, 4, and 5 in the intersecting lines diagram.
2. **Definition:** A linear pair consists of two adjacent angles whose non-common sides form a straight line, meaning their measures add up to $$180^\circ$$.
3. **Step 1: Analyze angle pairs**
- Check pairs <1 and <2: They share a common side and their other sides form a straight line, so they form a linear pair.
- Check pairs <4 and <5: Similarly, they share a common side and their other sides form a straight line, so they form a linear pair.
- Check pairs <2 and <3: Although adjacent, their non-common sides do not form a straight line.
- Check pairs <4 and <1: They are not adjacent and do not form a linear pair.
4. **Conclusion:** The linear pairs are <1 and <2, and <4 and <5.
**Final answer:** <1 and <2, <4 and <5.