Exercise 6.2.3 solution

\( A=\arccos\left(\dfrac{b^2+c^2-a^2}{2bc}\right)=\arccos\left(-\frac{23}{40}\right)=125.1^\circ\)

\( B=\arccos\left(\dfrac{a^2+c^2-b^2}{2ac}\right)=\arccos\left(\frac{55}{64}\right)=30.8^\circ\)

\(C=180^\circ-125.1^\circ-30.8^\circ=24.1^\circ\)