document.write( "Question 459763: In a right triangle, one of the acute angles is twice as large as the other acute angle. Find the meeasure of the two acute angles. \n" ); document.write( "
Algebra.Com's Answer #315285 by math-vortex(648)![]() ![]() You can put this solution on YOUR website! Important math fact: the sum of the three interior angles in any triangle is 180 degrees. \n" ); document.write( ". \n" ); document.write( "Since this is a right triangle one of the angle measures is 90 degrees, so the measures of the two acute angles add to 180-90=90 degrees. \n" ); document.write( ". \n" ); document.write( "Now, some algebra! \n" ); document.write( ". \n" ); document.write( "Since one of the angles is twice the measure of the other, we can call one measure x, and the other, 2x. \n" ); document.write( "x + 2x = 90 \n" ); document.write( "3x = 90 \n" ); document.write( "x = 30 \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( "So, the two acute angle measures are 30 degrees and 60 degrees.\r \n" ); document.write( "\n" ); document.write( "Hope this helps! \n" ); document.write( " |