document.write( "Question 855456: the complementary angle of an given angle is 2/5 th of the supplementary angle. what is the measure of given angle?pls explain it with steps. \n" ); document.write( "
Algebra.Com's Answer #515368 by ramkikk66(644)\"\" \"About 
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document.write( "the complementary  angle  of  an   given  angle  is  2/5  th  of  the  supplementary  angle.  what  is   the  measure  of  given  angle?\r\n" );
document.write( "Ans:\r\n" );
document.write( "Let the angle be x.\r\n" );
document.write( "Sum of an angle and complementary angle is 90.\r\n" );
document.write( "Sum of an angle and supplementary angle is 180.\r\n" );
document.write( "Complementary angle = 90 - x\r\n" );
document.write( "Supplementary angle = 180 - x\r\n" );
document.write( "Given that \"90+-+x+=+%282%2F5%29%2A%28180+-+x%29\"\r\n" );
document.write( "i.e.\r\n" );
document.write( "\"5%2A%2890+-+x%29+=+2%2A%28180+-+x%29\"\r\n" );
document.write( "\"450+-+5%2Ax+=+360+-+2%2Ax\"\r\n" );
document.write( "\"3%2Ax+=+90\" or \"x+=+30\"\r\n" );
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document.write( "Check: If x is 30, complementary angle = 60, supplementary angle = 150\r\n" );
document.write( "60 is 2/5 times 150. Correct!\r\n" );
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document.write( "Hope this helps :)\r\n" );
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