Give all possible answers m∠C=36∘, AB=31, BC=24, find m∠A

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Give all possible answers  m∠C=36∘, AB=31, BC=24, find m∠A

Maciej Morrow · Accepted Answer

Step 1  Given  m∠C=36∘, AB=31, BC=24  By sine law,  ABsin⁡C=BCsin⁡A  31sin⁡36∘=24sin⁡A  sin⁡A=2431sin⁡36∘=0.45506  A=arcsin⁡(0.45506)  A=27∘  Answer: A=27∘

Give all possible answers m∠C=36∘, AB=31, BC=24, find m∠A

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