Question

example 3 refer to the figure. 12 name two adjacent angles. 13 name two vertical angles. 14. find m∠suv.

Explanation:

Step1: Define adjacent angles

Adjacent angles share a common side and a common vertex. In the figure, $\angle MSQ$ and $\angle QSR$ share side $\overrightarrow{SQ}$ and vertex $S$.

Step2: Define vertical angles

Vertical angles are non - adjacent angles formed by two intersecting lines. In the figure, $\angle MQR$ and $\angle PQN$ are formed by the intersection of lines $\overleftrightarrow{MN}$ and $\overleftrightarrow{PR}$, and they are non - adjacent.

Step3: Find $m\angle SUV$

Since $\angle SUV$ is a straight angle, by the definition of a straight angle, $m\angle SUV = 180^{\circ}$.

Answer:

1. $\angle MSQ$ and $\angle QSR$
2. $\angle MQR$ and $\angle PQN$
3. $180^{\circ}$