Question

which angles are non-adjacent with ∠8 ? (mark all that apply) a) ∠1 b) ∠3 c) ∠2 d) ∠4 e) ∠5

Explanation:

Step1: Define adjacent angles

Adjacent angles share a common side and vertex. For $\angle 8$, its adjacent angles are those sharing a side or vertex directly with it. From the diagram, $\angle 8$ is adjacent to $\angle 7$, $\angle 9$, and the angle (if any) on its other side, but here we check the options.

Step2: Analyze each option

• Option a: $\angle 1$ - Does not share a side or vertex with $\angle 8$, so non - adjacent.
• Option b: $\angle 3$ - Does not share a side or vertex with $\angle 8$, so non - adjacent.
• Option c: $\angle 2$ - Does not share a side or vertex with $\angle 8$, so non - adjacent.
• Option d: $\angle 4$ - Does not share a side or vertex with $\angle 8$, so non - adjacent.
• Option e: $\angle 5$ - Does not share a side or vertex with $\angle 8$, so non - adjacent.

Answer:

a) $\angle 1$, b) $\angle 3$, c) $\angle 2$, d) $\angle 4$, e) $\angle 5$