document.write( "Question 1010678: In triangle ABC, measure of angle A is 32 degrees, AB equals 8 and BC equals 5
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Algebra.Com's Answer #626232 by Edwin McCravy(20056) $\"\"$ $\"About$

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In triangle ABC, measure of angle A is 32 degrees, AB equals 8 and BC
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document.write( "By the law of sines:\r\n" );
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document.write( "Cross-multiply\r\n" );
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document.write( "Acute angles are QI angles and obtuse angles are\r\n" );
document.write( "QII angles.  Since QI and QII angles have positive \r\n" );
document.write( "sines, there are two solutions for ∠ACB:\r\n" );
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document.write( "The acute angle C = ∠ACB can be found by using the \r\n" );
document.write( "inverse sine function on the calculator.  The\r\n" );
document.write( "green acute angle is\r\n" );
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document.write( "∠ACB = 57.98083803°\r\n" );
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document.write( "The black obtuse angle indicated by the red arc that has \r\n" );
document.write( "that same sine can be found by subtracting the green one\r\n" );
document.write( "from 180°, for the green one is its referent angle.\r\n" );
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document.write( "∠ACB = 180° - 57.98083803° = 122.019162°\r\n" );
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document.write( "Edwin

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