document.write( "Question 835996: The ratio of the angle measures of the two non-right angles in a right triangle is 2 :3. Find the measure of the smallest angle.
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document.write( "a)54
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document.write( "b)90
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document.write( "c)36
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document.write( "d)18 \n" );
document.write( "
Algebra.Com's Answer #503897 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! The two angles are in ratio of 2:3, so that means the two angles are 2x and 3x (where x is some unknown number for now). They must add to 90 (since they are the non-right angles in a right triangle...ie they are complementary)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 3x = 90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x = 90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 90/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x = 2*18 = 36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x = 3*18 = 54\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The smallest angle is 36 degrees \n" ); document.write( " |