SOLUTION: Can someone help me locate measure of the ∠ between b and c in the figure below with the ∠, alpha = {{{ 116.57 }}}°; a={{{ 4.24 }}}; b={{{ 9.06 }}}? Figure: https://s

Algebra ->  Test -> SOLUTION: Can someone help me locate measure of the ∠ between b and c in the figure below with the ∠, alpha = {{{ 116.57 }}}°; a={{{ 4.24 }}}; b={{{ 9.06 }}}? Figure: https://s      Log On


   



Question 1068530: Can someone help me locate measure of the ∠ between b and c in the figure below with the ∠, alpha = +116.57+°; a=+4.24+; b=+9.06+?
Figure: https://s23.postimg.org/9gildbt17/ABC.png
TY.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Your graphic is barely readable.
I've edited it here and placed variables where I think they're located.
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If I'm incorrect, just move them around.
Use the law of sines,
sin%28A%29%2Fa=sin%28B%29%2Fb=sin%28C%29%2Fc
I think you're looking for angle A (the angle between sides b and c),
sin%28A%29%2F4.24=sin%28116.57%29%2F9.06
sin%28A%29=%284.24%2F9.06%29sin%28116.57%29
sin%28A%29=0.4184
A=24.74
You can then find C since,
A%2BB%2BC=180
24.74%2B116.57%2BC=180
C=38.69
You can then use the law of sines again to find c.