Answer:
[tex]C\text{ = 83.34}\degree[/tex]
Explanation:
Here, using the cosine law, we want to calculate the measure of angle C
According to the law:
[tex]c^2\text{ = a}^2+b^2-2abCosC[/tex]
where:
a = 8
b = 7
c = 10
we want to find C
Substituting the values, we have it that:
[tex]\begin{gathered} 10^2\text{ = 8}^2+7^2-2(8)(7)cosC \\ 100-64-49\text{ = -112 cos C} \\ 13\text{ = 112 cos C} \\ cos\text{ C = }\frac{13}{112} \\ \\ cos\text{ C = 0.1160} \\ C\text{ = }\cos^{-1}\text{ 0.1160} \\ C\text{ = 83.34}\degree \end{gathered}[/tex]
