Question

which picture shows supplementary angles?

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if the sum of their measures is 180 degrees.

Step2: Analyze Option a

The sum of ∠1 and ∠2 in option a is less than 90 degrees (acute - angle situation), so they are not supplementary.

Step3: Analyze Option b

The sum of ∠1 and ∠2 in option b is 180 degrees as they form a linear pair. A linear - pair of angles is supplementary.

Step4: Analyze Option c

∠1 and ∠2 in option c are vertical angles. Vertical angles are equal, and their sum is not necessarily 180 degrees.

Step5: Analyze Option d

The sum of ∠1 and ∠2 in option d is less than 180 degrees (obtuse - angle situation), so they are not supplementary.

Answer:

B.