document.write( "Question 513072: If angles are supplementary, then one of the angles is an obtuse angle.\r
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document.write( "is this always true sometimes true or never true.? \n" );
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Algebra.Com's Answer #342853 by umail08(87)![]() ![]() You can put this solution on YOUR website! Supplementary angles: sum of angles is equal to 180 degrees \n" ); document.write( "Obtuse angle: measure of angle is greater than 90 degrees and less than 180 degrees. \n" ); document.write( "Therefore: \n" ); document.write( "We can represent the supplement of an angle by the phrase: \n" ); document.write( "(180-x) degrees \n" ); document.write( "So we can test some angles to determine what is the supplement: \n" ); document.write( "If: x=80 degrees, then (180-x) = (180-100) = 80 degrees One angle is obtuse \n" ); document.write( "If: x=90 degrees, then (180-x) = (180-90) = 90 degrees Neither angle is obtuse \n" ); document.write( "If: x = 100 degrees, then (180-x) = (180-100) = 80 degrees One angle is obtuse \n" ); document.write( "So we see that there is one case where neither angle is obtuse … \n" ); document.write( "Therefore the answer would be “sometimes true” \n" ); document.write( " \n" ); document.write( " |