Question

which angles are supplementary to each other? ∠3 and ∠6 ∠5 and ∠1 ∠5 and ∠6 ∠7 and ∠4

Explanation:

Step1: Recall definition of supplementary angles

Supplementary angles are two angles whose sum is 180 degrees. When two lines are intersected by a transversal, linear - pair angles are supplementary.

Step2: Analyze each option

• For ∠3 and ∠6: They are alternate - interior angles, not supplementary.
• For ∠5 and ∠1: They are not related in a way that they sum to 180 degrees.
• For ∠5 and ∠6: They form a linear pair. Since they are adjacent and their non - common sides form a straight line, ∠5+∠6 = 180 degrees.
• For ∠7 and ∠4: They are not supplementary.

Answer:

∠5 and ∠6