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Answer 1 · 2018-02-24T14:09:55

Missing angles are #color(purple)(hat B = 38.18^@, hat C = 109.82^@#

Missing side #color(green)(c = 21.3#

Given #a = 12, hatA = 32^@, b = 14#

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#sin B = (b * sin A) / a = (14 * sin 32) / 12 = 0.6182#

#hat B = sin ^-1 0.6182 = 38.18^@#

#hat C = 180 - 32 - 38.18 = 109.82^@#

#c = (a* sin C) / sin A = (12 * sin (109.82)) / sin 32 = 21.3#