It all comes from knowing that there are two angles, one obtuse and one acute, for every sine value. If you use the given angle-side pair (C and c) you will be less likely to incur error from your own rounding of angle A:īut if you know that supplementary angles share a sine value, you know that A can also be an obtuse angle with the same sine as 47.6924:Īnd again, subtract 31 (C) and the obtuse angle A from 180 to find the other possible third angle (B=16.6924) and use the Law of Sines to find the other possible third side, again using angle C and side c to avoid errors from rounding: Subtract 31 (C) and this angle (A) from 180 to find the third angle (B=101.3076) and use the Law of Sines again to find the third side. ![]() ![]() Use the Law of Sines to get one possible angle A:
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