document.write( "Question 471065: the sum of the measures of an obtuse and an acute angle is 160. the sum of the complement of the acute angle and one-half the supplement of the obtuse angle is 75. find the measures of the two angles. \n" ); document.write( "
Algebra.Com's Answer #323136 by gsmani_iyer(201)\"\" \"About 
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Let the obtuse angle be = x
\n" ); document.write( " Let the acute angle be = y\r
\n" ); document.write( "\n" ); document.write( " x + y = 160 ....... ........ (1)
\n" ); document.write( " \"%28%28180-x%29%2F%282%29%29%2B%2890-y%29+=+75\"
\n" ); document.write( " \"90-%28x%29%2F%282%29%2B+90-y+=+75\"
\n" ); document.write( " \"180+-+75+=+%28x%29%2F%282%29+%2B+y\"
\n" ); document.write( " \"105+=+%28x%29%2F%282%29+%2B+y\" ......... ........Multiplying both the sides by 2, we get:
\n" ); document.write( " \"x+%2B+2y+=+210\" ........ ........ (2)
\n" ); document.write( " From Eqn.(2) - (1) we get,
\n" ); document.write( " \"y+=+50\"
\n" ); document.write( " Applying y's value in Eqn.(1), we get
\n" ); document.write( " x + 50 = 160; So, x = 160 - 50 = 110.\r
\n" ); document.write( "\n" ); document.write( " So, the measure of obtuse angle = 110 ;
\n" ); document.write( " and the measure of acute angle = 50. Answer.
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\n" ); document.write( " I hope you have understood the above solution. All the best.\r
\n" ); document.write( "\n" ); document.write( "gsm
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