Question

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

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180°. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze each option

• For ∠5 and ∠3: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠3 and ∠7: They are corresponding angles (not supplementary).
• For ∠1 and ∠6: They are not adjacent and do not form a straight - line, so they are not supplementary.
• For ∠5 and ∠6: They are adjacent and form a straight - line. So, ∠5+∠6 = 180°, and they are supplementary.

Answer:

∠5 and ∠6