Answer:
C = 23.2°
Step-by-step explanation:
Using Law of Cosines:
\({c}^{2} = {a}^{2} + {b}^{2} - 2ab.cos \: \: C\)
Make C the subject of the formula,
\(cos \: C = \frac{ {a}^{2} + {b}^{2} - {c}^{2} }{2ab}\)
\(cos \: C \: = \frac{ {29}^{2} + {50}^{2} - {26}^{2} }{2 \times 50 \times 29} = \frac{2265}{2900}\)
\(cos \: C = 0.9189655\)
C = arc cos (0.9189555)
C = 23.22
C = 23.2°
