document.write( "Question 966014: The measures of the angles of a triangle are in the ratio of 1 : 3 : 5. Find the measure of the largest angle. \n" ); document.write( "
Algebra.Com's Answer #590460 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "Let  x  be the measure of the first,  the smallest angle of the triangle,  in degrees.\r
\n" ); document.write( "\n" ); document.write( "Then the measure of the second angle is  3x  degrees,  and the measure of the third angle is  5x  degrees. \r
\n" ); document.write( "\n" ); document.write( "In total,  the sum of these three angles of the triangle is  x + 3x + 5x = 9x  degrees. \r
\n" ); document.write( "\n" ); document.write( "From the other side,  as you know,  the sum of interior angles of any triangle is  180°.\r
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\n" ); document.write( "\n" ); document.write( "It gives you an equation \r
\n" ); document.write( "\n" ); document.write( "9x = 180°.\r
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\n" ); document.write( "\n" ); document.write( "Hence,  x = \"180%2F9\" = 20°. \r
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\n" ); document.write( "\n" ); document.write( "Answer. The smallest angle of the triangle is  20°.  Two other angles are of  60°  and  100°.  The largest angle is of  100°.\r
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