document.write( "Question 1103180: Angle A is 80 degrees. Side AC is 14 and side Bc is 31. What are measures of angles b and c, and the AB. \n" ); document.write( "

Algebra.Com's Answer #717872 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!

.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Use the law of sines,
\n" ); document.write( " $\"sin%2880%29%2F31=sin%28b%29%2F14\"$
\n" ); document.write( " $\"sin%28b%29=%2814%2F31%29sin%2880%29\"$
\n" ); document.write( "Solve for b.
\n" ); document.write( "Once you have b, solve for c.
\n" ); document.write( " $\"80%2Bb%2Bc=180\"$
\n" ); document.write( " $\"c=100-b\"$
\n" ); document.write( "Then use the law of sines again,
\n" ); document.write( " $\"sin%2880%29%2F31=sin%28c%29%2FAB\"$
\n" ); document.write( " $\"AB%2Asin%2880%29=31sin%28c%29\"$
\n" ); document.write( " $\"AB=31%2A%28sin%28c%29%2Fsin%2880%29%29\"$
\n" ); document.write( " \n" ); document.write( "

\n" );