Answer :
The possible value of angle G are given as follows:
g = 10º.
What is the law of sines?
Suppose we have a triangle in which:
- Side with a length of a is opposite to angle A.
- Side with a length of b is opposite to angle B.
- Side with a length of c is opposite to angle C.
The lengths and the sine of the angles are related as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
The relation for this problem is given as follows:
sin(126º)/83 = sin(g)/17
Hence the measure of angle g is obtained as follows:
sin(g) = 17 x sine of 126 degrees/83
sin(g) = 0.1657
g = arcsin(0.1657)
g = 10º. -> rounded to the nearest degree.
More can be learned about the law of sines at https://brainly.com/question/4372174
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