Answer :
Based on law of sine, the value of angle C is equal to 94.5 degree.
For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
we have, by law of sines,
We will use the law of sines to find c as;
sin c sin 97.5
--------------- = -------------
14.5 13.7
(13.7)sin c= 14.5 sin 97.5
sin c = 14.5 sin 97.5 / (13.7)
sin c = - 0.1168
Angle c = 94.5
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