Respuesta :

D. 98

Angle a is 58 degrees, so 24 plus 58 equals 82. That leaves 98 left.


So firstly, thanks to linear pair theorem, we can solve for angle BAC as such:


[tex] 180=122+BAC [/tex]


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.


[tex] 24+58+x=180 [/tex]


Firstly, combine like terms: [tex] 82+x=180 [/tex]


Next, subtract 82 on both sides, and your answer will be x = 98, or D.