Question

1. which of these diagrams shows a pair of supplementary angles?

Explanation:

Supplementary angles sum to $180^\circ$ (a straight angle).

• Diagram A: Angles are adjacent but sum to less than $180^\circ$.
• Diagram B: The two colored angles together form a straight line, so their sum is $180^\circ$.
• Diagram C: Angles sum to less than $180^\circ$ (with a right angle present).
• Diagram D: Angles are vertical-adjacent and sum to less than $180^\circ$.

Answer:

B. The diagram where the two colored angles form a straight line