document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182638>Question 1182638</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Given triangle ABC, point E is along side AC and point <BR>\n" );
document.write( "D is along side BC. Line BE and AD are the angle <BR>\n" );
document.write( "bisectors of angle B and A respectively. If the angle BEC <BR>\n" );
document.write( "= 75° and angle ADC = 84°, find the ACB. </SPAN>\n" );
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document.write( "Let angle ABC be 2x degrees<BR>\n" );
document.write( "Let angle BAC be 2y degrees<br><BR>\n" );
document.write( "Then the angle we are to find, ACB, is (180-(2x+2y)) degrees.<br><BR>\n" );
document.write( "Angles EBA and EBC are each x degrees; angles DAB and DAC are each y degrees.<br><BR>\n" );
document.write( "Angle BEC is 75 degrees, so angle BEA is 180-75=105 degrees; angle ADC is 84 degrees, so angle ADB is 180-84=96 degrees.<br><BR>\n" );
document.write( "In triangle ABD,<br><BR>\n" );
document.write( "96+2x+y=180 [1]<br><BR>\n" );
document.write( "In triangle ABE,<br><BR>\n" );
document.write( "105+x+2y=180 [2]<br><BR>\n" );
document.write( "Solve the pair of equations [1] and [2] to find x and y; then use those to find the answer to the problem.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );