Question

which angles are supplementary to each other? ∠3 and ∠7 ∠4 and ∠5 ∠2 and ∠4 ∠8 and ∠5

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees.

Step2: Analyze each option

• For ∠3 and ∠7: They are corresponding angles, not supplementary.
• For ∠4 and ∠5: They are adjacent angles on a straight - line. Since a straight - line has an angle measure of 180 degrees, ∠4+∠5 = 180 degrees. So they are supplementary.
• For ∠2 and ∠4: They are vertical angles, not supplementary.
• For ∠8 and ∠5: They are vertical angles, not supplementary.

Answer:

∠4 and ∠5