document.write( "Question 156030This question is from textbook Academic Systems Elementary Algebra
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document.write( ": The measure of the smallest angle of a right triangle is 15 degrees less than half the measure of the next smallest angle. What is the measure of each angle?\r
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document.write( "I drew out the triangle, assuming since it said a right triangle that one of the angles is 90, but that would mean that each other the other angles would be equal, please help.
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Algebra.Com's Answer #114921 by stanbon(75887) ![]() You can put this solution on YOUR website! The measure of the smallest angle of a right triangle is 15 degrees less than half the measure of the next smallest angle. What is the measure of each angle? \n" ); document.write( "------------------\r \n" ); document.write( "\n" ); document.write( "Let the 2nd smallest angle = \"x\": \n" ); document.write( "Then smallest angle = \"(x/2)-15\": \n" ); document.write( "And largest angle = 90 \n" ); document.write( "--------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "angle + angle + angle = 180 \n" ); document.write( "x + (x/2)-15 + 90 = 180 \n" ); document.write( "(3/2)x = 105 \n" ); document.write( "x = 35*2 = 70 degrees (2nd largest) \n" ); document.write( "(70/2)-15 = 20 degrees (smallest) \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |