Answer: 117°
Step-by-step explanation:
Use the Law of Cosines:
c² = a² + b² - 2ab · cos C
12² = 6² + 8² - 2(6)(8)(cos C)
144 = 36 + 64 - 96 cos C
144 = 100 - 96 cos C
44 = -96 cos C
[tex]-\dfrac{44}{96}=cosC\\\\\\cos^{-1}\bigg(-\dfrac{44}{96}\bigg)=C[/tex]
117° = C
