document.write( "Question 162224: Given two angles that form a linear pair. Prove that thier bisectors are perpendicular. \r
\n" ); document.write( "\n" ); document.write( "please give me the statements and reasons. and please keep it as simple as possible. thank you
\n" ); document.write( "

Algebra.Com's Answer #119550 by stanbon(75887)\"\" \"About 
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( "
\n" );