Question

prove: if two angles are supplementary, they also form a linear pair. which image provides the best counterexample for this statement? a. b. c. d.

Explanation:

A linear pair of angles must be adjacent (share a common side and vertex) and supplementary (sum to \(180^{\circ}\)).

• Option A: The two angles are adjacent but their sum is \(90^{\circ}\) (not supplementary).
• Option B: The two angles are adjacent and supplementary (form a linear pair, so it is not a counter - example).
• Option C: The two angles are not adjacent. If they are supplementary (for example, \(\angle1 = 100^{\circ}\) and \(\angle2=80^{\circ}\)), they do not form a linear pair. This is a counter - example.
• Option D: The two angles may not be supplementary.

Answer:

C.