document.write( "Question 768339: If the measures of the exterior angles of the acute angles of a right triangle are 2x+15 and 3x+5, find the measures of the acute angles. \n" ); document.write( "
Algebra.Com's Answer #468229 by ramkikk66(644)\"\" \"About 
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\n" ); document.write( "If the measures of the exterior angles of the acute angles of a right triangle are 2x+15 and 3x+5, find the measures of the acute angles.
\n" ); document.write( "Ans:
\n" ); document.write( "Remember that the sum of the angle + the exterior angle is 180.
\n" ); document.write( "Also that the sum of the 3 angles of the triangle is 180. In the right triangle,
\n" ); document.write( "since one angle is 90, the sum of the other 2 acute angles is 90 as well.\r
\n" ); document.write( "\n" ); document.write( "If the 2 acute angles are A and B,
\n" ); document.write( "\"A+%2B+2%2Ax+%2B+15+=+180\"
\n" ); document.write( "\"A+=+180+-+%282%2Ax+%2B+15%29+=+165+-+2%2Ax\"
\n" ); document.write( "Similarly,
\n" ); document.write( "\"B+%2B+3%2Ax+%2B+5+=+180\"
\n" ); document.write( "So \"B+=+180+-+%283%2Ax+%2B+5%29+=+175+-+3%2Ax\"\r
\n" ); document.write( "\n" ); document.write( "A + B = 90
\n" ); document.write( "So, \"165+-+2%2Ax+%2B+175+-+3%2Ax+=+90\"
\n" ); document.write( "Combining like terms,
\n" ); document.write( "\"340+-+5%2Ax+=+90\"
\n" ); document.write( "\"340+-+90+=+250+=+5%2Ax\"
\n" ); document.write( "\"x+=+50\"
\n" ); document.write( "So the first acute angle A = \"165+-+2%2Ax\" = \"165+-+100\" = \"highlight%2865%29\"
\n" ); document.write( "The second acute angle B = \"175+-+3%2Ax\" = \"175+-+150\" = \"highlight%2825%29\"\r
\n" ); document.write( "\n" ); document.write( "Hope you got it :) \n" ); document.write( "
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