(73 points) Find the value of x.

Answer:
Option C. [tex]98^{\circ}[/tex]
Step-by-step explanation:
[tex]\angle DAB + \angle BAC = 180[/tex] (the two angles sum to the angle of a straight line: [tex]180^{\circ}[/tex])
[tex]122+\angle BAC = 180[/tex]
[tex]\angle BAC = 180-122[/tex]
[tex]=58^{\circ}[/tex]
[tex]24+58+x = 180[/tex] (sum of interior angles of triangle is [tex]180^{\circ}[/tex])
[tex]82+x=180[/tex]
[tex]x=98^{\circ}[/tex]
∴ Option C is correct.
Hope this helps :)