Pairs of Angles Worksheets | Geometry worksheets, Education math - Free Printable

Let’s go through each pair of angles one by one to decide if they are adjacent.

What are adjacent angles?
Adjacent angles are two angles that:
1. Share a common vertex (they meet at the same point).
2. Share a common side (one ray is shared between them).
3. Do NOT overlap — they sit next to each other without sharing any space inside.

Now let’s check each problem:

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Problem 1:
Two angles share the same corner point and one side. They don’t overlap.
✔ Yes, they are adjacent.

Problem 2:
Three rays come from one point, but the two labeled angles don’t share a side — there’s a gap or another angle in between.
✘ No, not adjacent.

Problem 3:
The two angles share a vertex and a side, and they’re on opposite sides of that shared side — no overlap.
✔ Yes, adjacent.

Problem 4:
The two angles share a vertex and a side, and they’re right next to each other.
✔ Yes, adjacent.

Problem 5:
The two angles share a vertex and a side — even though one looks “bent,” they still share a ray and vertex.
✔ Yes, adjacent.

Problem 6:
These are three separate angles stacked vertically. The top and bottom angles do NOT share a side or vertex with each other directly — they’re separated by the middle one.
✘ No, not adjacent.

Problem 7:
The two angles are across from each other at an intersection — they share a vertex but NOT a side. These are vertical angles, not adjacent.
✘ No, not adjacent.

Problem 8:
The two angles share a vertex and a side, and they’re next to each other along a straight line.
✔ Yes, adjacent.

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Final Answer:
1) Yes
2) No
3) Yes
4) Yes
5) Yes
6) No
7) No
8) Yes