document.write( "Question 162224: Given two angles that form a linear pair. Prove that thier bisectors are perpendicular. \r
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document.write( "please give me the statements and reasons. and please keep it as simple as possible. thank you \n" );
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Algebra.Com's Answer #119550 by stanbon(75887) ![]() You can put this solution on YOUR website! Given two angles that form a linear pair. Prove that their bisectors are perpendicular. \n" ); document.write( "----------------- \n" ); document.write( "Let the angles be A and B. \n" ); document.write( "A + B = 180 degrees ; def. of linear pair \n" ); document.write( "----------- \n" ); document.write( "Let L1 be a bisector of A forming a1 and a2 \n" ); document.write( "Let L2 be a bisector of B forming b1 and b2 \n" ); document.write( "Let a1 be ajacent to b1 \n" ); document.write( "--------------------- \n" ); document.write( "a1=a2 and b1=b2; def. of bisector \n" ); document.write( "a1+a2 = A and b1+b2 = B; def. of bisector \n" ); document.write( "---------------------- \n" ); document.write( "2a1 = A and 2b1 = B; substitution \n" ); document.write( "2a1 + 2b1 = 180 ; substitution \n" ); document.write( "--------------- \n" ); document.write( "a1 + b1 = 90 ; equals divided by equals are equal \n" ); document.write( "--------------- \n" ); document.write( "L1 and L2 are perpendicular ; def of perpendicular \n" ); document.write( "============================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |