Question

what is an angle that is supplementary to ∠8?

Explanation:

Step1: Recall supplementary - angle definition

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

Step2: Identify adjacent angles to ∠8

∠7 and ∠8 are adjacent angles that form a straight - line. Also, ∠5 and ∠8 are vertical angles to ∠7 and ∠8 respectively, and ∠5 + ∠8 = 180 degrees (since vertical angles are equal and ∠7+∠8 = 180 degrees).

Answer:

∠5, ∠7