document.write( "Question 15284: The sum of the measures of two angles is 120 degrees .If the measure of one of the angles is five times that of the other ,which statment is true
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document.write( "1-- the angles are supplementary
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document.write( "2-- the angles are complementary
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document.write( "3-- both angles are acute
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document.write( "4-- one angle is an acute angle and the other is an obtuse angle \n" );
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Algebra.Com's Answer #7584 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let x = smaller angle \n" ); document.write( "5x = larger angle\r \n" ); document.write( "\n" ); document.write( "x + 5x = 120 \n" ); document.write( "6x = 120 \n" ); document.write( "x= 20 degrees -- smaller angle \n" ); document.write( "5x = 100 degrees -- larger angle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now consider the choices. \n" ); document.write( "1. They are NOT supplementary since they do not add up to 180 degrees. \n" ); document.write( "2. They are NOT complementary since they do not add up to 90 degrees. \n" ); document.write( "3. They are NOT both acute since the larger angle is larger than 90 degrees. \n" ); document.write( "4. One angle is acute and the other is obtuse. This is true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( " |