document.write( "Question 238417: How many degrees are there in an angle that measures 25 degree more than the measure of its complement?\r
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document.write( "The measure of the supplement of an angle is 45 degree less than four times the measure of the angle. Find the measure of the angle and its supplement. \n" );
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Algebra.Com's Answer #175180 by anantha(86)![]() ![]() ![]() You can put this solution on YOUR website! sol: \n" ); document.write( "let the angle be x \n" ); document.write( "its complement angle=90-x \n" ); document.write( "according to the problem \n" ); document.write( "x=25+(90-x) \n" ); document.write( "90-x transpose to L.H.S side \n" ); document.write( "x-(90-x)=25 \n" ); document.write( "x-90+x=25 \n" ); document.write( "2x-90=25 \n" ); document.write( "adding 90 on both sides \n" ); document.write( "2x-90+90=25+90 \n" ); document.write( "2x=115 \n" ); document.write( "dividing by 2 on both sides \n" ); document.write( "2x/2=115/2 \n" ); document.write( "x=57.5\r \n" ); document.write( "\n" ); document.write( "sol: \n" ); document.write( "let the angle be x \n" ); document.write( "supplement of angle=180-x \n" ); document.write( "four times the measure of the angle=4x \n" ); document.write( "according to the problem \n" ); document.write( "supplement of angle=four times measure of angle-45 \n" ); document.write( "180-x=4x-45 \n" ); document.write( "transpose 45 on L.H.S side and x on R.H.S side \n" ); document.write( "180+45=4x+x \n" ); document.write( "225=5x \n" ); document.write( "dividing both sides by 5 \n" ); document.write( "225/5=5x/5 \n" ); document.write( "45=x \n" ); document.write( "supplement of angle=180-45=135\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |