The expression which represents the angle measure x with the use of Law of Sines is x=sin⁻¹[(a sin b)/c].
What is the law of sine?
The law of sine is nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
It can be given as,
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Here (A,B,C) are the angle of the triangle and (a,b,c) are the sides of that triangle.
For the given problem it can also be given as,
[tex]x^o=\sin^{-1}\left(\dfrac{a\sin B}{c}\right)[/tex]
Put the values,
[tex]x^o=\sin^{-1}\left(\dfrac{(14.9)\sin (71)}{25.5}\right)\\x^o=\sin^{-1}\left(0.5523\right)\\x^o=33.54^o[/tex]
Thus, the expression which represents the angle measure x with the use of Law of Sines is x=sin⁻¹[(a sin b)/c].
Learn more about the sine law here;
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