Question

select all the angles that are supplementary to ∠1. a. ∠3 b. ∠4 c. ∠5 d. ∠6 e. ∠7 f. ∠8

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. When two lines intersect, linear - pair angles are supplementary.

Step2: Identify linear - pair angles to ∠1

∠1 and ∠2 form a linear pair, and ∠1 and ∠4 form a linear pair. Also, if we consider the parallel - line and transversal situation (assuming the lines are parallel), ∠1 and ∠6 are same - side interior angles which are supplementary.

Answer:

B. ∠4, D. ∠6