Question

which angle is supplementary to ∠6? ∠1 ∠4 ∠2 ∠3

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 angle to ∠6

From the figure, ∠5 and ∠6 form a straight - line. Also, ∠1 and ∠6 form a straight - line. Since ∠1 is one of the options, ∠1 is supplementary to ∠6.

Answer:

∠1