Question 205114
The following facts are true about triangle ABC: 
[measure_angle_B=120 degrees, 
AC=x(sqroot3) (this is side "b", 
BC=x (this is side a)
How many choices are there for the measure of angle A?
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Using the Law of Sines you get:
sin(A)/a = sin(B)/b
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sin(A)/x = sin(120)/x(sqrt(3))
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sin(A) = [sqrt(3)/2]/(sqrt(3))
sin(A) = (1/2)
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So the measure of angle A could be 30 deg or it could be 150 deg
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Cheers,
Stan H.