Question

question 8 (1 point) using the following diagram, identify an angle that will complete the given angle pair. ∠2 supplementary angles: ∠__ vertical angles: ∠ linear pair: ∠ adjacent angles: ∠__

Explanation:

Step1: Define supplementary angles

Supplementary angles add up to 180 degrees. In the star - shaped figure, $\angle2$ and $\angle5$ form a straight - line, so they are supplementary.

Step2: Define vertical angles

Vertical angles are opposite each other when two lines intersect. $\angle2$ and $\angle7$ are vertical angles.

Step3: Define linear pair

A linear pair is a pair of adjacent angles that form a straight line. $\angle2$ and $\angle5$ form a linear pair.

Step4: Define adjacent angles

Adjacent angles share a common side and a common vertex. $\angle2$ has adjacent angles $\angle1$ and $\angle3$.

Answer:

Supplementary Angles: $\angle5$
Vertical Angles: $\angle7$
Linear Pair: $\angle5$
Adjacent Angles: $\angle1$ or $\angle3$