Question

name each figure below
1.

1. give another name for plane n.
2. classify ∠wtu.
3. which angle is adjacent to ∠6?
4. which angle is vertical to ∠3?
5. find ln and nq.

n =
nq =

Explanation:

Step1: Identify the figure in the third - top box

It is a ray. A ray has one endpoint and extends infinitely in one direction. It can be named as $\overrightarrow{HW}$ (endpoint first).

Step2: Another name for plane $N$

A plane can be named by three non - collinear points on the plane. Points $B$, $C$, and $D$ are on plane $N$, so another name could be plane $BCD$.

Step3: Classify $\angle{WTU}$

By observing the angle, it is greater than $90^{\circ}$ and less than $180^{\circ}$, so it is an obtuse angle.

Step4: Adjacent angle to $\angle{6}$

Adjacent angles share a common side and a common vertex. $\angle{5}$ shares a common side and vertex with $\angle{6}$, so the adjacent angle to $\angle{6}$ is $\angle{5}$.

Step5: Vertical angle to $\angle{3}$

Vertical angles are opposite each other when two lines intersect. $\angle{3}$ and $\angle{6}$ are vertical angles, so the vertical angle to $\angle{3}$ is $\angle{6}$.

Step6: Find $LN$ and $NQ$ on the number - line

Assume each unit on the number - line is 1. If $L$ is at - 2 and $N$ is at 0, then $LN=\vert0-( - 2)\vert = 2$. If $N$ is at 0 and $Q$ is at 6, then $NQ=\vert6 - 0\vert=6$.

Answer:

1. Ray $\overrightarrow{HW}$
2. Plane $BCD$
3. Obtuse
4. $\angle{5}$
5. $\angle{6}$
6. $LN = 2$, $NQ = 6$