Question

select the correct answer from each drop - down menu. the angle by which $overrightarrow{ab}$ turns clockwise about point $b$ to coincide with $overrightarrow{bc}$ is degrees. if from point $b$, a point $e$ is drawn directly opposite point $c$ so that $b$, $e$, and $c$ are on the same straight line, the angle by which $overrightarrow{ab}$ turns counterclockwise to coincide with $overrightarrow{be}$ is degrees.

Explanation:

Step1: Identify given angles

The angle between $\overrightarrow{AB}$ and $\overrightarrow{BC}$ is $33.3^{\circ}+ 30.6^{\circ}=63.9^{\circ}$.

Step2: Find second - angle

If $B$, $E$, and $C$ are on a straight - line, the angle between $\overrightarrow{AB}$ and $\overrightarrow{BE}$ counter - clockwise is $180^{\circ}-63.9^{\circ}=116.1^{\circ}$.

Answer:

First blank: $63.9$; Second blank: $116.1$