Question

try it! 1. which angle pairs include the named angle? a. ∠4 enter your answer. check answer

Explanation:

Step1: Identify vertical - angle pair

Vertical angles are opposite each other when two lines intersect. $\angle4$ and $\angle2$ are vertical angles.

Step2: Identify adjacent - angle pair

Adjacent angles share a common side and a common vertex. $\angle4$ and $\angle1$ are adjacent angles, $\angle4$ and $\angle3$ are also adjacent angles.

Step3: Identify corresponding - angle pair

Corresponding angles are in the same relative position. $\angle4$ and $\angle8$ are corresponding angles.

Step4: Identify alternate - interior - angle pair

Alternate - interior angles are between the two parallel lines and on opposite sides of the transversal. $\angle4$ and $\angle6$ are alternate - interior angles.

Answer:

The angle pairs that include $\angle4$ are: $\angle4$ and $\angle2$ (vertical angles), $\angle4$ and $\angle1$ (adjacent angles), $\angle4$ and $\angle3$ (adjacent angles), $\angle4$ and $\angle8$ (corresponding angles), $\angle4$ and $\angle6$ (alternate - interior angles)