Question

which angles are supplementary to each other? ∠6 and ∠3 ∠7 and ∠1 ∠2 and ∠3 ∠8 and ∠2

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. When two parallel lines are cut by a transversal, same - side interior angles and same - side exterior angles are supplementary.

Step2: Analyze each option

• For ∠6 and ∠3: They are not supplementary.
• For ∠7 and ∠1: ∠7 and ∠1 are same - side exterior angles. When two parallel lines are cut by a transversal, same - side exterior angles are supplementary. So ∠7+∠1 = 180 degrees.
• For ∠2 and ∠3: They are adjacent angles that form a straight - line, so ∠2+∠3=180 degrees.
• For ∠8 and ∠2: They are not supplementary.

Answer:

∠7 and ∠1, ∠2 and ∠3