In triangle ABC, m∠A=α, m∠B=β, m∠C=y. AB=c, AC=b, BC=a. Find the areas of the triangles if the following parts are given. b=12, c=9, a=57 degrees.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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