Question

which of the angle pairs below are a linear pair? ∠4 and ∠8 ∠3 and ∠6 ∠7 and ∠5 ∠2 and ∠3

Explanation:

Step1: Recall linear - pair definition

A linear pair of angles is a pair of adjacent angles whose non - common sides are opposite rays and the sum of the angles is 180 degrees.

Step2: Analyze each option

• For ∠4 and ∠8: They are not adjacent, so they are not a linear pair.
• For ∠3 and ∠6: They are vertical angles (opposite angles formed by the intersection of two lines), not a linear pair.
• For ∠7 and ∠5: They are not adjacent, so they are not a linear pair.
• For ∠2 and ∠3: They are adjacent angles and their non - common sides form a straight line. So, they are a linear pair.

Answer:

∠2 and ∠3