Question

1. determine the relationship between ∠1 and ∠2. choose all that apply. adjacent, vertical, complementary, supplementary, linear pair

Explanation:

Step1: Recall angle - pair definitions

Adjacent angles share a common side and a common vertex. $\angle1$ and $\angle2$ share a common side and a common vertex.

Step2: Recall supplementary - angle definition

Supplementary angles add up to 180 degrees. Since $\angle1$ and $\angle2$ form a linear - pair (a linear pair of angles is adjacent and supplementary), they are supplementary.

Step3: Recall linear - pair definition

A linear pair is a pair of adjacent angles whose non - common sides are opposite rays. $\angle1$ and $\angle2$ form a linear pair.

Step4: Recall complementary - angle definition

Complementary angles add up to 90 degrees. $\angle1+\angle2
eq90^{\circ}$, so they are not complementary.

Step5: Recall vertical - angle definition

Vertical angles are non - adjacent angles formed by two intersecting lines. $\angle1$ and $\angle2$ are adjacent, so they are not vertical.

Answer:

Adjacent, Supplementary, Linear Pair