document.write( "Question 47184: In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angle? \n" ); document.write( "
Algebra.Com's Answer #31237 by gsmani_iyer(201)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( " Sum of the angles in a triangle = 180 degrees. \n" ); document.write( " \n" ); document.write( " angle B + angle C = 90 degrees. (given) \n" ); document.write( " \n" ); document.write( " So angle A = 180-90 = 90 degrees. \n" ); document.write( " \n" ); document.write( " But angle A is thrice the angle B. \n" ); document.write( " \n" ); document.write( " So angle B = 1/3 of angle A \n" ); document.write( " \n" ); document.write( " = 1/3 * 90 = 30 degrees. \n" ); document.write( " \n" ); document.write( " So angle C = 90-30 = 60 degrees. Because angle B + angle C = 90 degrees (given) \n" ); document.write( " \n" ); document.write( "angle A = 90 degrees; angle B = 30 degrees; angle C = 60 degrees. Answer. \n" ); document.write( " |