document.write( "Question 179983: The measure of the angle in standard position coterminal with an angle whose measur is -200 degrees is,
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document.write( "a. -160
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document.write( "b.20
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document.write( "c. 560
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document.write( "d. 520 \n" );
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Algebra.Com's Answer #134880 by eperette(173)![]() ![]() ![]() You can put this solution on YOUR website! You can find coterminal angles as follows:\r \n" ); document.write( "\n" ); document.write( "0 + 360n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "where 0 is the angle and n is an integer\r \n" ); document.write( "\n" ); document.write( "-200 + 360(2)=-200 + 720 = 520\r \n" ); document.write( "\n" ); document.write( "another way to look at it is by drawing a picture (usually helps more)and then eliminating impossible answers:\r \n" ); document.write( "\n" ); document.write( "Coterminal angles must share their terminal sides...\r \n" ); document.write( "\n" ); document.write( "angle -200 moves clockwise and its terminal side ends in quadrant II....\r \n" ); document.write( "\n" ); document.write( "a. -160 moves clockwise and ends in quadrant III, therefore it is wrong \n" ); document.write( "b. 20 ends in quadrant I, therefore it is wrong \n" ); document.write( "c. 560 moves counterclockwise, completes a turn (360) and then moves 200 degrees more, and ends in quadrant III therefore it is wrong also \n" ); document.write( "d. 520 moves counterclockwise completes a turn (360) and then moves 160 degrees more ending in quadrant II \n" ); document.write( " |