Answer:
75.3°
Step-by-step explanation:
Applies the Law of Cosines
15 represents the larger side and its opposite angle will be C
[tex]15^{2} =10^{2} +14^{2} -2(10)(14)cosC[/tex]
[tex]225=296-280cosC[/tex]
[tex]-280cosC=225-296[/tex]
[tex]cosC=\frac{-71}{-280}[/tex]
[tex]C=ArcCos(0.25357)[/tex]
C = 75.3°
Hope this helps