document.write( "Question 468109: \"Two angles of a triangle have equal measures, but the third angle's measure is 36° less than the sum of the other two. Find the measure of each angle of the triangle.\"\r
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document.write( "This is the problem I was given but how do I write it out? Normally, I would try to solve the problem before coming here but obviously I don't know where to start.\r
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document.write( "Also, what formula am I following; perimeter or area?\r
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document.write( "NOTE: I think I may able be to figure the problem out once I have been able to write the problem out correctly.\r
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Algebra.Com's Answer #321197 by Theo(13342)![]() ![]() You can put this solution on YOUR website! Draw a triangle and label is ABC. \n" ); document.write( "Let angle A = x \n" ); document.write( "let angle B = x \n" ); document.write( "let angle C = 2x - 36 \n" ); document.write( "2x - 36 means that angle C is 36 degrees less than the sum of angle A and B. \n" ); document.write( "Since the sum of the interior angles of a triangle is 180 degrees, then 2x + 2x - 36 = 180. \n" ); document.write( "combine like terms in that equation and you get 4x - 36 = 180 \n" ); document.write( "add 36 to both sides of that equation and you get 4x = 216 \n" ); document.write( "divide both sides of that equation by 4 and you get x = 54 degrees \n" ); document.write( "angle A = 54 degrees \n" ); document.write( "angle B = 54 degrees \n" ); document.write( "angle C = 108 - 36 = 72 degrees \n" ); document.write( "54 + 54 + 72 = 108 + 72 = 180 degrees so the angles are good because they add up to 180 degrees and the third angle is 36 degrees less than the sum of the other 2.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |