Question

select the pair of angles which are linear angles.

○ ∠4 and ∠8
○ ∠5 and ∠7
○ ∠3 and ∠4
○ ∠2 and ∠6

Explanation:

Step1: Recall linear - angle definition

Linear angles are two adjacent angles that form a straight line, and their sum is $180^{\circ}$.

Step2: Analyze each option

• Option A: $\angle4$ and $\angle8$ are not adjacent and do not form a straight - line pair.
• Option B: $\angle5$ and $\angle7$ are not adjacent and do not form a straight - line pair.
• Option C: $\angle3$ and $\angle4$ are adjacent and together they form a straight line, so they are linear angles.
• Option D: $\angle2$ and $\angle6$ are not adjacent and do not form a straight - line pair.

Answer:

C. $\angle3$ and $\angle4$