Question

using the following diagram, identify an angle that will complete the given angle pair. ∠8 supplementary angles: ∠____ vertical angles: ∠__ linear pair: ∠__ adjacent angles: ∠____ blank 1: blank 2: blank 3: blank 4:

Explanation:

Step1: Recall supplementary - angles definition

Supplementary angles add up to 180 degrees. $\angle8+\angle7 = 180^{\circ}$, so for supplementary angles of $\angle8$, the answer is $\angle7$.

Step2: Recall vertical - angles definition

Vertical angles are opposite each other when two lines intersect. $\angle8$ and $\angle10$ are vertical angles.

Step3: Recall linear - pair definition

A linear pair is a pair of adjacent angles that form a straight - line. $\angle8$ and $\angle7$ form a linear pair.

Step4: Recall adjacent - angles definition

Adjacent angles share a common side and a common vertex. $\angle8$ and $\angle9$ are adjacent angles.

Answer:

Blank 1: $\angle7$
Blank 2: $\angle10$
Blank 3: $\angle7$
Blank 4: $\angle9$