Answer
$$\theta \approx 111.03 ^o$$
Work Step by Step
$\theta = \angle C$
$$cos \space \theta = \frac{a^2 + b^2 - c^2}{2ab}$$ $$cos \space \theta = \frac{(122.5)^2 + (60.1)^2 - (154.6)^2}{2(122.5)(60.1)}$$ $$cos \space \theta \approx -0.358783$$ $$\theta = cos^{-1} \space - 0.358783 \approx 111.03 ^o$$
