document.write( "Question 61971: An angle and its complement always have a sum of 90 degrees. The sum of the measures of the angle and five times its complement is 298 degrees. What is the measure of the angle? \n" ); document.write( "
Algebra.Com's Answer #42991 by 303795(602)\"\" \"About 
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Let the angle be represented by x. The complement of this angle will be 90-x. When those two angles are added together the total will be 90.\r
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\n" ); document.write( "\n" ); document.write( "\"x+%2B+5%2A%2890-x%29+=+298+\" Multiply 5 times the terms in the bracket
\n" ); document.write( "\"x+%2B+450+-+5x+=+298+\"
\n" ); document.write( "\"-4x+%2B+450++=+298+\" Subtract 450 from each side of the equation
\n" ); document.write( "\"-4x+%2B+450+-+450+=+298+-+450+\"
\n" ); document.write( "\"-4x+=+-152\" divide each side of the equation by -4
\n" ); document.write( "\"%28-4x%29+%2F+-4+=+%28-152%29%2F-4\"
\n" ); document.write( "\"x+=+38\"\r
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\n" ); document.write( "\n" ); document.write( "So the angle will be 38 degrees. Its complement would be 52 degrees. Check 38 + 5 *52 = 298
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