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

Learn more about law of sines here:

https://brainly.com/question/17289163

#SPJ1

Thanks for taking the time to read Find m angle c 14 5in 97 5 degrees and 13 7in please solve step for step pleasee. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada