To determine which angle is
adjacent to ∠4, let's first understand what "adjacent" means in geometry.
Definition:
Two angles are
adjacent if:
1. They share a
common vertex.
2. They share a
common side (ray).
3. They do
not overlap (i.e., they don't have any interior points in common).
---
Now, look at the diagram:
- The figure shows two intersecting lines forming 6 angles labeled ∠1 through ∠6 around a central point.
- The angles are arranged around a point where two lines cross, creating vertical and adjacent pairs.
Let’s identify the angles around ∠4:
- ∠4 is one of the angles formed by the intersection.
- Looking at the diagram:
- ∠4 shares a side with ∠5 (they both share the upper-left ray).
- ∠4 also shares a side with ∠3 (they both share the lower-left ray).
- So, ∠4 is between ∠3 and ∠5.
Therefore, the angles
adjacent to ∠4 are:
- ∠3
- ∠5
But among the choices given:
> ∠2, ∠6, ∠1, ∠5
Only
∠5 is listed.
Let’s check each option:
-
∠2: This is opposite ∠4 across the intersection — it's
vertical to ∠4, not adjacent.
-
∠6: This is on the other side; it doesn’t share a side with ∠4 — not adjacent.
-
∠1: Also not sharing a side with ∠4 — not adjacent.
-
∠5: Yes! It shares a side and vertex with ∠4 →
adjacent.
---
✔ Answer: ∠5
It is the only angle listed that is adjacent to ∠4.
Parent Tip: Review the logic above to help your child master the concept of complementary supplementary vertical angles worksheet.
