So firstly, thanks to linear pair theorem, we can solve for angle BAC as such:
![180=122+BAC](https://img.qammunity.org/2019/formulas/mathematics/middle-school/922igpjn5936luics2vq95kjbue67jg5pp.png)
For that, all you need to do is subtract 122 on each side, and your answer will be 58 = BAC.
Now that we got the two interior angles for triangle BAC, we can use the triangle angle sum theorem to solve for the third angle.
![24+58+x=180](https://img.qammunity.org/2019/formulas/mathematics/middle-school/r35nhajnh9hj95tku61g21ld98ydst7dpw.png)
Firstly, combine like terms:
![82+x=180](https://img.qammunity.org/2019/formulas/mathematics/middle-school/kdmqq4ekjtnelcbam8334ip846sizd22ms.png)
Next, subtract 82 on both sides, and your answer will be x = 98, or D.