document.write( "Question 301121: Two of the angle measures of an obtuse triangle are congruent. The third angle meauses 120 degrees. What does one of the other angles measure? \n" ); document.write( "

Algebra.Com's Answer #215930 by nyc_function(2741) $\"\"$ $\"About$

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The sum of the angles of a triangle is 180 degrees.\r
\n" ); document.write( "\n" ); document.write( "Let x = the two angles in this triangle which are congruent.\r
\n" ); document.write( "\n" ); document.write( "x + x + 120 = 180\r
\n" ); document.write( "\n" ); document.write( "2x + 120 = 180\r
\n" ); document.write( "\n" ); document.write( "2x = 180 - 120\r
\n" ); document.write( "\n" ); document.write( "2x = 60\r
\n" ); document.write( "\n" ); document.write( "x = 60/2\r
\n" ); document.write( "\n" ); document.write( "x = 30\r
\n" ); document.write( "\n" ); document.write( "Each of the other two angles measures 30 degrees.\r
\n" ); document.write( "\n" ); document.write( "Here is the proof:\r
\n" ); document.write( "\n" ); document.write( "Let x = 30\r
\n" ); document.write( "\n" ); document.write( "30 + 30 + 120 = 180\r
\n" ); document.write( "\n" ); document.write( "60 + 120 = 180\r
\n" ); document.write( "\n" ); document.write( "180 = 180...It checks!\r
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