Question

the diagram shows $overrightarrow{ab}$, $overrightarrow{ac}$, and $overrightarrow{ad}$. what is the value of $k$? $k = square$

Explanation:

Step1: Recall angle - sum property

We know that $\angle BAD = 122^{\circ}$, $\angle CAD=79^{\circ}$ and $\angle BAD=\angle BAC + \angle CAD$.

Step2: Solve for $k$

$k + 79=122$, so $k=122 - 79$.

Answer:

$43$